The value of x is 8√2.
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
2
c = 8√2