Question

Solving right triangles geometry help please

Answer 1

(13) The third side is 14 cm

(13) The third side is 16.1 cm

Explanation:

Given

(13) & (14)

Required

Solve

(13): Let length AB = x.

Using Pythagoras theorem.

`x^2 = 12^2 + 9^2`

`x^2 = 144 + 81`

`x^2 = 225`

Take positive square root of both sides

`x = \sqrt{225`

`x = 15`

(14): Let length DE = x.

Using Pythagoras theorem.

`x^2 = 8^2 + 14^2`

`x^2 = 64 + 196`

`x^2 = 260`

Take positive square root of both sides

`x = \sqrt{260`

`x = 16.1` ---approximated