Question

A right triangle with side a being 7 and the hypotenuse is 8. Find the measure of the missing side length. Round your answer to the nearest tenth.

Answer 1

4

Explanation:

use the Pythagoras' theorem

formula for an ABC triangle( right angled)

AB is height

BC is hypotenuse

CA is length

`BC^(2)` =
`AB^(2)` +
`CA^(2)`

in your case

AB is 7

BC is 8

CA is unknown so we write x

`8^(2)`=
`7^(2)`+
`x^(2)`

64=49+
`x^(2)`

64-49=
`x^(2)`

15=
`x^(2)`

`√(15)` =x

3.87=x

4=x