# How would i solve this?

## A triangle has sides that measure 33cm, 65cm, and 56cm. Is it a right triangle? Explain.

Mar 9, 2018

I think it is:

#### Explanation:

We can check using Pythagoras Theorem:
${h}^{2} = {a}^{2} + {b}^{2}$

where,
$h =$hypotenuse $=$ the longer side.

With our data:
${65}^{2} = {33}^{2} + {56}^{2}$
$4225 = 1089 + 3136$

We get:
$4225 = 4225$

and that confirms the fact that our triangle satisfies Pythagoras' condition.

Furthermore, we can also prove that no other triangle can have sides $33 - 65 - 56$ than the one we discussed above using the  "SSS" congruence theorem.