Respuesta :

Answer:

OBTUSE

Step-by-step explanation:

We can determine this based on the the pythagorean theorem!

[tex]a^{2}+ b^2 = c^2[/tex]

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...

[tex]8^{2} +6^2 ? 12^2\\64 + 36 ? 144\\100 < 144[/tex]

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

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