Question

Solve the triangle for all missing sides and angles

Answer 1

x = 35

C = 18.92

A = 71.07

Explanation:

x)

Use the Pythagorean theorem to find the unknown side.

`a^(2) +b^(2) =c^(2) \\\\\\12^(2) +x^(2) =37^(2) \\x^(2) = 37^(2)-12^(2)\\x=35`

For Angle C

The angle C can be found using the inverse sine function.

C=arcsin(opp/hyp)

C=arcsin(12/37)

C=18.92

For Angle A

The sum of all the angles in a triangle is 180 degrees.

A + 90 + 18.92 = 180

A = 71.07