Question

Find the value of x. Round your answer to
the nearest tenth.
45°
19
X

Answer 1

x = 14.5

Explanation:

Given

A = 19

B = ?

C = ? , C = 45°

a. To find the other two angles of the triangle subtract 45° from 180° .

180° - 45°

135

b. Divide 135 by 2 to get the two sides.

135°÷2 = 67.5°

So the other two angles are 67.5° and 67.5°.

To check your answer 45°+ 67.5° +67.5° = 180°

c. a/sinA = c/sinC

c sin67.5°/sin67.5° = 19 sin45°/sin67.5°

c = 14.5

Therefore x = 14.5