Question

Solve the triangle for all missing sides and angles

Answer 1

Answer:

x = 35

C = 18.92

A = 71.07

Step-by-step 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