How can you tell if a triangle is a right triangle with one 90 degree angle?

Question

Choose the best answer.

(1 point)
Responses

Draw the triangle and use a protractor to measure the length of the sides and angles.
Draw the triangle and use a protractor to measure the length of the sides and angles.

You would have to know two of the angles or all three sides to test the Pythagorean theorem.
You would have to know two of the angles or all three sides to test the Pythagorean theorem.

Plot the triangle on the coordinate plane and use the coordinates to see if the triangle is a right triangle.
Plot the triangle on the coordinate plane and use the coordinates to see if the triangle is a right triangle.

Look and see if the triangle looks like it has two perpendicular sides.
Look and see if the triangle looks like it has two perpendicular sides.

Answer 1

The best answer is:

You would have to know two of the angles or all three sides to test the Pythagorean theorem.

This is because to determine if a triangle is a right triangle, you can either verify that one of the angles is 90 degrees or use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. Therefore, knowing the lengths of all three sides allows you to apply this theorem and confirm if the triangle is a right triangle.