Question

Find the unknown side length x. ​

Answer 1

x =
`√(65)`

Explanation:

The altitude of the triangle must equal 4 because it is a right triangle with another leg of 3 and a hypotenuse of 5 (reason is due to the pythagorean theorem)

Therefore, the triangle on the right has legs of 4 and 7 and, again, use the phythagorean theorem to find 'x' (the hypotenuse)

`4^(2)` +
`7^(2)` =
`x^(2)`

16 + 49 =
`x^(2)`

65 =
`x^(2)`

x = sq rt 65