Question

What is the value of x?

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Answer 1

x = 5

Explanation:

Using Pythagoras' identity in the right triangle.

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

x² + 12² = 13²

x² + 144 = 169 ( subtract 144 from both sides )

x² = 25 ( take the square root of both sides )

x =
`√(25)` = 5

Answer 2

x = 25

Explanation:

We are given a right angled triangle and we are to find the value of x.

For that, we will use the Pythagoras Theorem.

`1 3 ^ 2 = x ^ 2 + 1 2 ^ 2`

`1 6 9 = x ^ 2 + 1 4 4`

`x ^ 2 = 1 6 9 - 1 4 4`

`x ^ 2 = 2 5`

Taking square root on both sides to get:

x = 25