Question

Find the value of x.

Answer 1

x =
`√(87)`

Explanation:

if you draw a perpendicular segment from the vertex between sides 5 and 16 to the opposite side then you have a right triangle and can use the Pythagorean Theorem, a² + b² = c²

a = x

b = 13 (you get this from 18 - 5)

c = 16

x² + 13² = 16²

x² + 169 = 256

x² = 87

x = √87