Answer:
The value of x is 16
Step-by-step explanation:
In the right triangle of the length of the hypotenuse c and the lengths of two legs a and b
- a² + b² = c² ⇒ Pythagoras Theorem
In the given figure
∵ The right triangle has two legs of lengths 8√2, 8√2
∴ a = 8√2 and b = 8√2
∵ It has a hypotenuse of length x
∴ c = x
→ Substitute them in the rule above
∵ (8√2)² + (8√2)² = x²
∵ (8√2)² = (8)²(√2)² = (64)(2) = 128
∴ 128 + 128 = x²
∴ 256 = x²
→ Take a square root for both sides
∵ √256 = √(x)²
→ The root will cancel power 2 of x
∴ 16 = x
∴ The value of x is 16
