Question

Determine the value of x

Answer 1

2√2

Explanation:

By using trigonometry,

sin 45° = x/4

x = 4sin 45°

x = 2√2

By using Pythagorean theorem,

Since you know that it is an isosceles triangle and it's also a right-angled triangle,

4² = x² + x²

16 = 2x²

x² = 8

x = √8

= 2√2