Question

use the side lengths determine whether the triangle is acute right or obtuse

Answer 1

@Shadow

Answer 2

Plug in each set of lengths into the Pythagorean Theorem.

Answer 3

We solve for this by utilizing Pythagorean's Theorem

\[a^2 + b^2 = c^2\]

Where 'a' and 'b' are the side lengths and 'c' is the hypotenuse, the side length opposite of the right angle.

This formula only works for right triangles. So if the equation comes out to be true, we know it is a right triangle.

If:

\[a^2 + b^2 > c^2\]
It is an acute triangle

\[a^2 + b^2 < c^2\]
It is an obtuse triangle

Answer 4

Does that make sense?

Answer 5

@lexxii

Answer 6

Yeah it does thank you so \[10^2+12^2=244\] and \[16^2=256\] so it would be obtuse, right?

Answer 7

Correct

Answer 8

Okay thank you!

Answer 9

No problem