Question

Which classification best represents a triangle with side lengths 6 cm, 10 cm, and 12 cm? acute, because 62 102 < 122 acute, because 6 10 > 12 obtuse, because 62 102 < 122 obtuse, because 6 10 > 12

Answer 1

If the square sum of the perpendicular and base is less than the square of hypotenuse then the angle will be an obtuse angle. Then the correct option is C.

What is a Pythagoras theorem?

The Pythagoras is the sum of the square of two sides is equal to the square of the longest side. And it is given as

P² + B² = H²

A triangle with side lengths of 6 cm, 10 cm, and 12 cm.

We know that if the square sum of the perpendicular and base is greater than the square of hypotenuse then the angle will be an acute angle.

Ans if the square sum of the perpendicular and base is less than the square of hypotenuse then the angle will be an obtuse angle.

Then we have

6² + 10² < 12²

Then the angle will be an obtuse angle.

More about the Pythagoras theorem link is given below.

brainly.com/question/343682