Question

The hypotenuse of a

right triangle is 10 cm.

One of the side lengths is 8 cm.

What is the length of the other side?

Answer 1

6 cm

Explanation:

use Pythagorean theorem a² + b² = c²

let c = 10 cm , b = 8 cm

plug in values

a² + 8² = 10²

a² = 10² - 8²

a =
`√(10^2 - 8^2)`

a = 6 cm

Answer 2

6 cm

Explanation:

We can use the Pythagorean Theorem to find the length of the missing side.

The Pythagorean Theorem states that the hypotenuse of a right triangle will be
`a^2 + b^2`, where a and b are the leg lengths.

Together, we get the formula
`a^2 + b^2 = c^2`.

Since we know the hypotenuse (c) and one of the sides (let's say a), we can find the missing side (b) by substituting inside the equation.

`8^2 + b^2 = 10^2\\\\64 + b^2 = 100\\\\b^2 = 100-64\\\\b^2 = 36\\\\b = √(36)\\\\b=6`

So the missing side is 6 cm long.

Hope this helped!