Question

The figure shown is composed of two triangles that share a common side. Find the value of x.

Answer 1

(16 √3)/3

Explanation:

call the length of shared side L.

L/sin 45 = (8√2)/sin 90

L = ((8√2) X sin 45) / sin 90

= 8.

now we can find x.

x/sin 90 = 8/sin 60

x = (8 X sin 90) / sin 60

= (16 √3)/3.