Question

sam is trying to draw an isosceles triangle with two right angles on a sheet of paper. is this possible? why or why not? explain or show your reasoning.

Explanation:

Step1: Recall triangle - angle sum property

The sum of interior angles of a triangle is 180°.

Step2: Calculate sum of two right - angles

A right - angle measures 90°. So, the sum of two right - angles is 90°+90° = 180°.

Step3: Analyze the third angle

If a triangle had two right - angles, the third angle would be 180°-(90° + 90°)=0°, which is not possible for a triangle.

Answer:

No, it is not possible. The sum of the interior angles of a triangle is 180°. Two right - angles already sum to 180°, leaving no measure for the third angle.