Question

What is the value of x?

Answer 1

The value of x is 8√2.

Step-by-step explanation:

From the right triangle,

• The angles are 90°, 45° and the third angle is unknown.
• Third angle = 180° - (90°+45°) = 45°
• The measure of third angle is 45°

The length of the side opposite to angle 45° is a=8.

Therefore, the value of y opposite to angle 45° is also 8.(b=8)

Using Pythagorean theorem,

The length of hypotenuse is c ⇒ c² = a²+b²

c² = 8²+8²

c² = 64+64 = 128

c = √128

c = √64$\times$2

c = 8√2