Question

Find the missing side of each triangle. Leave your answer in simplest radical form.

Answer 1

Answer:

Your answer is $\sqrt{220}$ or 14.8323969...

Step-by-step explanation:

$A^{2} +B^{2} =C^{2} \\x^{2} + 6^{2} =16^{2}$

$x^{2} =16^{2} -6^{2}$

$x^{2}$ = 256 - 36

x = $\sqrt{220}$

Answer 2

Answer:

$x = 2\sqrt{55}$  

Step-by-step explanation:

Given the values for the leg and hypotenuse:

a (leg) = 6 cm

c (hypotenuse) = 16 cm

Use the Pythagorean Theorem to find the value of the other leg, x:

$x = \sqrt{c^{2} - a^{2} }$

$x = \sqrt{16^{2} - 6^{2} }$

$x = 2\sqrt{55}$