Question

A right traingle hypotenuse has length 7 if one leg has length 3 what is the length of the other leg

Answer 1

c = 7 - a hypotenusea = 3 - a legb = ? - a leg
Use the Pythagorean theorem:

`a^2+b^2=c^2`
Substitute:

`3^2+b^2=7^2\\\\9+b^2=49\ \ \ |-9\\\\b^2=40\to b=√(40)\\\\b=√(4\cdot10)\\\\b=2√(10)`