Question

Plsssss help meeeeeeee

Answer 1

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