Respuesta :

LukeG1

Answer:

12 in.

Step-by-step explanation:

Leg = a = 9 in.

Leg = b

Hypotenuse (side opposite of the right angle) = c = 15 in.

Use the pythagorean theorem to find the missing side length

[tex]a^2 + b ^2 = c ^2[/tex]

[tex]9^2 + b^2 = 15^2[/tex]

Simplify

[tex]81 + b^2 = 225[/tex]

Subtract 81 from both sides of the equation

[tex]b^2 = 144[/tex]

Find the square root of 144

b = [tex]\sqrt{144}[/tex]

b = 12

12 in

Hope this helps :)