Question

Can someone help me with the awnser?

Answer 1

x = 15

Explanation:

We need to use Pythagoras Theorem to find the value of x. Usually we use Pythagoras to work out the hypotenuse (the side opposite the right-angle) but we are given the hypotenuse, so we will have to rearrange.

→ Form equation

20² + b² = 25²

→ Simplify

400 + b² = 625

→ Minus 400 from both sides to isolate b²

b² = 225

→ Square root both sides to isolate b

b = 15

Answer 2

x = 15

Explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 20² = 25²

x² + 400 = 625 ( subtract 400 from both sides )

x² = 225 ( take the square root of both sides )

x =
`√(225)` = 15