Question

Examine the right triangle. What is the length of the hypotenuse, c?
Answers are in the pic

Answer 1

Every right triangle follows the pythagorean theorem: given the legs
`a` and
`b` and the hypothenuse
`c` we have

`a^2+b^2=c^2 \implies c=√(a^2+b^2)`

In your case, a=3 and b=5, so we have

`c=√(3^2+5^2)=√(9+25)=√(34)`

Answer 2

a^2+b^2=c^2 <----- the equation to find out sides for a right triangle