Question

What is the hypotenuse of a triangle with 4 ft and 5 ft

Answer 1

`\Large\text{The hypotenuse is}\ √(41)\ ft\approx6.4\ ft`

Explanation:

`\text{Use the Pythagorean theorem:}`

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

`\text{a, b - legs}\\\text{c - hypotenuse}`

`\text{We have the legs 4ft and 5ft. Substitute:}`

`c^2=4^2+5^2\\\\c^2=16+25\\\\c^2=41\to c=√(41)`