Question

Given the side lengths, determine whether the triangle is acute, right, obtuse, or not a triangle.

3, 9, 10

Answer 1

It’s obtuse

Step-by-step explanation:
Assign the sides by length with c being longest
If (a^2)+(b^2)>(c^2) it’s acute

If (a^2)+(b^2)=(c^2) it’s right

And if (a^2)+(b^2)<(c^2) it’s obtuse

Since (3^2)+(9^2)=9+81=90
And 10^2=100 we know that (a^2)+(b^2)<(c^2) so it’s obtuse