Question

2. Is APYT an acute, right, or obtuse triangle?

Т.
8 in.
12 in.
P
Y
6 in.

Answer 1

OBTUSE

Explanation:

We can determine this based on the the pythagorean theorem!

`a^(2)+ b^2 = c^2`

With Pythagorean Theorem, c is the longest length in the triangle... So, if c = a squared plus b squared, then it is a right triangle! If c is less, it is acute, and finally, if C is more than the two - then it is obtuse!

So let's see...

`8^(2) +6^2 ? 12^2\\64 + 36 ? 144\\100 < 144`

This is an OBTUSE triangle, since c adds up to be more than a and b.

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