# How do you find the sides of a triangle given the angle and hypotenuse?

Table of Contents

## How do you find the sides of a triangle given the angle and hypotenuse?

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.

**Does 9 40 41 make a right triangle?**

Yes, 9, 40, 41 is a Pythagorean Triple and sides of a right triangle.

### How do I find the length of the sides of a triangle?

The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2 , is used to find the length of any side of a right triangle.

**Is 234 a right triangle?**

Any triangle whose sides are in the ratio 3:4:5 is a right triangle. Such triangles that have their sides in the ratio of whole numbers are called Pythagorean Triples.

#### Does 8 15 17 make a right triangle?

Yes, 8, 15, 17 is a Pythagorean Triple and sides of a right triangle.

**How do you find the angle of a right triangle?**

Their angles are also typically referred to using the capitalized letter corresponding to the side length: angle A for side a, angle B for side b, and angle C (for a right triangle this will be 90°) for side c, as shown below.

## How to find the length of the right triangle side lengths?

Given angle and hypotenuse; Apply the law of sines or trigonometry to find the right triangle side lengths: a = c * sin(α) or a = c * cos(β) b = c * sin(β) or b = c * cos(α) Given angle and one leg; Find the missing leg using trigonometric functions: a = b * tan(α) b = a * tan(β) Given area and one leg

**What is the ratio of a 45 45 90 triangle?**

45°-45°-90° triangle: The 45°-45°-90° triangle, also referred to as an isosceles right triangle, since it has two sides of equal lengths, is a right triangle in which the sides corresponding to the angles, 45°-45°-90°, follow a ratio of 1:1:√ 2. Like the 30°-60°-90° triangle, knowing one side length allows you to determine the lengths

### What is the ratio of sides of a right triangle?

In this type of right triangle, the sides corresponding to the angles 30°-60°-90° follow a ratio of 1:√ 3 :2. Thus, in this type of triangle, if the length of one side and the side’s corresponding angle is known, the length of the other sides can be determined using the above ratio. For example, given that the side corresponding to