Question

Solving right triangles geometry help please

Answer 1

Answer:

(13) The third side is 14 cm

(13) The third side is 16.1 cm

Step-by-step 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