Question

If the two shortest sides of a triangle measure 16 cm and 30 cm, what does the longest side need to

measure in order to prove that it is a right triangle?
___________ cm

Answer 1

34

Explanation:

In all right triangles, the two shortest sides squared equals the longest side squared, given by the equation
`a^2+b^2=c^2`.

We know the two shortest sides, so we can plug in

`16^2+30^2=c^2\\256+900=c^2\\1156=c^2\\c=√(1156) \\c=34`