Contents

- 1 Find The Length Of The Hypotenuse Of A Right Triangle : Pythagorean
- 2 The hypotenuse of a right triangle with its legs of lengths 3x × 4x is 5x
- 3 How do you draw a right angle triangle with 3 4 and 6 cm?
- 4 What will be the area of the triangle with sides 3/4 and 5 cm?
- 5 How long is the length of the hypotenuse if the legs measure 12 & 5?
- 6 What is the area of 3cm and 4cm triangle?
- 7 Is it possible to draw a triangle with the sides 3 cm 4 cm and 5 cm?
- 8 Are all multiples of 3 4 5 Pythagorean triples?
- 9 How do you get hypotenuse from long legs?
- 10 Is it possible to draw a triangle, the lengths of whose sides are given
- 11 What is the length of the hypotenuse of the triangle 3cm 7cm?

## Find The Length Of The Hypotenuse Of A Right Triangle : Pythagorean

5 feetCorrect answer:

We know that in a 3-4-5 right triangle, when the legs are 3 feet and 4 feet, the hypotenuse will be **5 feet**.

Subsequently, how do you find the hypotenuse of a right triangle of 3 and 4?

Given two right triangle legs

Use the Pythagorean theorem to calculate the hypotenuse from the right triangle sides. Take a square root of sum of squares: **c = √(a² + b²)**

### What is the length of the hypotenuse in a 3-4-5 triangle?

Looking at the 3-4-5 triangle, it can be determined that the new lengths are multiples of 5 (3 x 5 = 15, 4 x 5 = 20). In order to find the missing hypotenuse, use the 3-4-5 rule and again multiply by five: 5 x 5 = 25. The length of the missing hypotenuse is **25**.

## The hypotenuse of a right triangle with its legs of lengths 3x × 4x is 5x

Hence the hypotenuse of the right triangle is **5x**.

### Is the triangle with sides of length 5 cm 3 cm and 4 cm a right-angled triangle If yes why?

Since, **L.H.S = R.H.S Pythagoras theorem is satisfied Hence, 3cm, 4cm, 5cm form sides of a right angled triangle**. Since, L.H.S = R.H.S Pythagoras theorem is satisfied Hence, 3cm, 4cm, 5cm form sides of a right angled triangle.

By the way, how do you find the measure of a 3 4 5 triangle?

This rule says that **if one side of a triangle measures 3 and the adjacent side measures 4, then the diagonal between those two points must measure 5** in order for it to be a right triangle.

## How do you draw a right angle triangle with 3 4 and 6 cm?

**Steps of construction:**

- (1).Draw BC=4cm.
- (2). Taking B as centre cut an arc of length 6cm.
- (3).Again taking C as centre cut an arc of length 3cm, meeting other arc at A.
- (4). Join AC and AB. Hence ΔABC is required triangle.

is a triangle with sides of 3/4 and 5 a pythagorean triple?. The integer solutions to the Pythagorean Theorem, a^{2} + b^{2} = c^{2} are called Pythagorean Triples which contains three positive integers a, b, and c. Hence, **3,4 and 5 are the Pythagorean triples**.

With that, what is the hypotenuse leg formula?

Hypotenuse Formula

**a2+b2=c2** a 2 + b 2 = c 2 , where c is the hypotenuse and a and b are the legs of the right triangle.

### Unit 3 Section 1 : Pythagoras’ Theorem

A triangle with sides of length 3cm, 4cm and 5cm is **right-angled**.

## What will be the area of the triangle with sides 3/4 and 5 cm?

∴s=a+b+c2=3+4+52=122=6cm∴Area=√s(s−a)(s−b)(s−c)=√6×(6−3)(6−4)(6−5)=√6×3×2×1=√36=**6cm2**. Q. Find the perimeter of a triangle of sides 3 cm, 4 cm and 5 cm.

Which leads to: the legs of a right triangle are 3 and 4 how do you find the length of the . 1 Answer. So, the hypotenuse is **5** .

How long is the hypotenuse of a right triangle whose legs have lengths 5cm and 12cm?

13Summary: The length of the hypotenuse of a right triangle whose legs have lengths of 5 and 12 is **13**.

Therefore, find the length of the hypotenuse of a right triangle with legs of 9 cm and

15cmThe length of the hypotenuse of a right triangle with legs of 9 cm and 12 cm is **15cm**.

## How long is the length of the hypotenuse if the legs measure 12 & 5?

13In the triangle above, you are given measures for legs a and b: 5 and 12, respectively. You can use the Pythagorean Theorem to find a value for the length of c, the hypotenuse. Using the formula, you find that the length of c, the hypotenuse, is **13**.

Then, can we draw a triangle abc with ab=3cm, bc=3.5cm and ca=6.5cm

But the length of the third side should be greater than the sum of the other two sides and here the sum of two sides is equal to the third side, which makes the condition of triangle false. Hence, **there does not exist any triangle ABC with AB=3cm, BC=3.5cm and CA=6.5cm**.

### A triangle is having sides 3cm, 4cm, 5cm in length. The greatest angle of

d) An isosceles right triangle. Q. A triangle is having sides 3cm, 4cm, 5cm in length.

So, a triangle has sides that measure 3 cm, 4 cm, and 5 cm. what type of

Answer and Explanation: A triangle has sides that measures 3 cm, 4 cm 3 cm , 4 cm and 5 cm . Clearly, the lengths of all the sides of the given triangle are different from each other. Therefore, the given triangle is a **scalene triangle**.

## What is the area of 3cm and 4cm triangle?

=21×height×base=21×3×4=3×2=**6 cm2**.

With this, how do you find a aaa triangle?. “AAA” is when we know all three angles of a triangle, but no sides. **AAA triangles are impossible to solve further since there is nothing to show us size** we know the shape but not how big it is. We need to know at least one side to get any further that’s life!

And for adding information, what is the 3 4 5 method called?.

Furthermore, can you draw a triangle with sides measuring 3 cm 4 cm 10 cm?

-sum of measure of any two sides of a triangle should exceed the length of the third side or else the triangle is **not possible**. Step-by-step explanation: 4cm + 3cm = 7cm which is smaller than third side which is of 10cm. Hence the triangle is not possible.

## Is it possible to draw a triangle with the sides 3 cm 4 cm and 5 cm?

So, **a triangle with sides 3cm,4cm and 5cm is possible**.

And are all right angles 3 4 5 triangles?

**The 3 : 4 : 5 triangles are the only right triangles with edges in arithmetic progression**. Triangles based on Pythagorean triples are Heronian, meaning they have integer area as well as integer sides.

How does the 3 4 5 rule work?

To get a perfectly square corner, you want to aim for a measurement ratio of 3:4:5. In other words, **you want a three-foot length on your straight line, a four-foot length on your perpendicular line, and a five-foot length across**. If all three measurements are correct, you’ll have a perfectly square corner.

## Are all multiples of 3 4 5 Pythagorean triples?

In the case above (3,4,5) is a primitive triple, But **all its multiples, such as (6,8,10) etc, are not**. Primitive triples have this property: a, b and c share no common factors.

is 3 4 6 a pythagorean triple?. Since, 32+42=62,(3,4,6) is **not a pythagorean triplet**.

How do you find the hypotenuse of a triangle and legs?

A right triangle consists of two legs and a hypotenuse. **The two legs meet at a 90° angle and the hypotenuse is the longest side of the right triangle and is the side opposite the right angle**.

## How do you get hypotenuse from long legs?

Work carefully, concentrating on the relationship between the hypotenuse and short leg, then short leg and long leg.

30-60-90 Triangle Rules.

If you know | Then | To get |
---|---|---|

Hypotenuse | Divide by 2 | Short leg |

Short leg | Multiply by 2 | Hypotenuse |

Short leg | Multiply by √3 | Long leg |

Long leg | Divide by √3 | Short leg |

How to find the legs of a right triangle with only the hypotenuse calculator?

**How do you solve a right angle triangle with only one side?**

- If you have the hypotenuse, multiply it by sin(θ) to get the length of the side opposite to the angle.
- Alternatively, multiply the hypotenuse by cos(θ) to get the side adjacent to the angle.

What is the area of a 3 4 5 right triangle?

Area = ^{1}/_{2}bh

This becomes area = ^{1}/_{2}(3)(4) = 6 when it is a true 3 4 5 triangle. If the triangle is scaled from the ratio by a common factor, we can multiply 6 by that common factor to get the area.

which of the following can be the sides of a right triangle 3cm 4cm 5cm?. 3, 4, 5 form a Pythagorean triplet i.e. the sum of the squares of 3 and 4 equals the square of 5. Apart from this combination, **none can form a right-angled triangle as they do not make up a Pythagorean triplet**. Q.

## Is it possible to draw a triangle, the lengths of whose sides are given

Hence, **it is possible to draw a triangle whose sides are 2cm,3cm and 4cm**.

What is the perimeter of the triangle if the sides are 3 cm 4 cm and 5 cm?

12 cm= **12 cm**. Q. Find the perimeter of a triangle of sides 3 cm, 4 cm and 5 cm.

What is the area of the right triangle with base 5 cm and altitude 4cm?

= BC×AD2=5×42=**10cm2**. **Q**.

why is it not possible to construct a triangle with sides 3 cm , 4 cm and . So, **it is not possible** to construct a triangle with the sides 3 cm, 4 cm and 8 cm.

## What is the length of the hypotenuse of the triangle 3cm 7cm?

7.62 cmHypotenuse = **7.62 cm**

So, length of hypotenuse is 7.62 cm.