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

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

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Mar 9, 2018

Answer:

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.

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