**Asked by:**Nigel Moore

**Updated:**11 August 2021 04:50:00 AM

# How to find the sides of a triangle with angles?

Answer: If you know two angles, then you can work out the third since all the angles sum to 180 degrees. If the sides are a, b and the hypotenuse is c (opposite angle A), and the angles are A, B and C, then Sin A = a/c, so a = cSin A. Also Cos A = b/c, so b = cCos A.3 days ago

## Given this, how do you find the side length of a triangle when given the angles?

Key Takeaways

- 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.
- In a right triangle, one of the angles has a value of 90 degrees.
- The longest side of a right triangle is called the hypotenuse, and it is the side that is opposite the 90 degree angle.

## Keeping this in mind how do you find the measure of the sides of a triangle?

According to the Law of Sines, the ratio of the sines of each angle divided by the length of the opposite side are all equal. This helps you to find the sides of the triangle. Add the two angles together and subtract the sum from 180 degrees to find the third angle.## With allowance for this, how do you find the third side of an obtuse triangle?

You can use the pythagorean theorem to see where the angle between the first two sides would be 90 degrees. Third side = sqrt(16^2 + 21^2) = 26.4.## Do you have your own answer or clarification?

### Related questions and answers

#### How do you figure out angles?

The formula for finding the total measure of all interior angles in a polygon is: (n – 2) x 180. In this case, n is the number of sides the polygon has. Some common polygon total angle measures are as follows: The angles in a triangle (a 3-sided polygon) total 180 degrees.

#### How do you find the side of a non right triangle?

The Law of Sines can be used to solve oblique triangles, which are non-right triangles. According to the Law of Sines, the ratio of the measurement of one of the angles to the length of its opposite side equals the other two ratios of angle measure to opposite side.

#### How do you find an angle of a right triangle with 3 sides?

Find the angle of elevation of the plane from point A on the ground.

- Step 1 The two sides we know are Opposite (300) and Adjacent (400).
- Step 2 SOHCAHTOA tells us we must use Tangent.
- Step 3 Calculate Opposite/Adjacent = 300/400 = 0.75.
- Step 4 Find the angle from your calculator using tan
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