Question

Solve this problem please.

solve for x.

Answer 1

Use the Pythagorean theorem:

`x^2=10^2+24^2\\\\x^2=100+576\\\\x^2=676\to x=√(676)\\\\\boxed{x=26}`

Answer: x = 26.

Answer 2

x is the hypotenuse (as it is opposite the right angle). Follow the a² + b² = c² formula.

let a = 10

let b = 24

let c = x

Plug into the equation:

(10)² + (24)² = x²

Simplify

10² = 100

24² = 576

100 + 576 = x²

x² = 676

Isolate the x. Root both sides

√x² = √676

x = √676

x = 26

x = 26 is your answer

hope this helps