Question

Find the length of the side not given when c is the hypotenuse and a and b are the legs. A=9 and C=13

Answer 1

Hey there! :)

You have to use the Pythagorean Theorem: a² + b² = c²

a² + b² = c² → c² - a² = b²

c = 13
13² = 13 × 13 = 169

a = 9
9² = 9 × 9 = 81

169 - 81 = 88

√88 = 9.38 

b = 9.38

Hope this helps :)

Answer 2

Use the Pythagprean theorem:
$c^2=a^2+b^2$
We have:
$a=9;\ c=13$
Substitute:
$9^2+b^2=13^2\\\\81+b^2=169\ \ \ |-81\\\\b^2=88\to b=\sqrt{88}\\\\b=\sqrt{4\cdot22}\\\\Answer:\ b=2\sqrt{22}\approx9.38$