Question

How would i solve this?

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

Answer 1

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.