Question

Could I find the two missing side lengths of a right triangle if I only know one side length and one angle measure (other than the 90 degree angle)?
Examples please, with a walkthrough? if possible.

Answer 1

Given an acute angle and one side. Solve the right triangle ABC if angle A is 36°, and side c is 10 cm.

Solution. Since angle A is 36°, then angle B is 90° − 36° = 54°.

To find an unknown side, say a, proceed as follows:


1. Make the unknown side the numerator of a fraction, and make the known side the denominator.
Unknown
Known = a
10
2. Name that function of the angle.
Unknown
Known = a
10 = sin 36°
3. Use the trigonometric Table to evaluate that function.
Unknown
Known = a
10 = sin 36° = .588
4. Solve for the unknown side.

a = 10 × .588 cm = 5.88 cm

Answer 2

There are more worked out solutions at the link: http://www.themathpage.com/atrig/solve-right-triangles.htm

Answer 3

Questions?

Answer 4

No haha you got everything perfect. Thanks man. Major props^