Prove the following theorem indirectly. We will give you a start.

Prove that a triangle cannot have two right angles.

A triangle cannot have two right angles. Suppose a triangle had two right angles.

Respuesta :

A triangle cannot have two right angles because the sum of all three angles of a triangle is 180. If there were two right angles in a triangle, then the two angles themselves would equal to 180 degrees, without adding the third angles. Since the degrees added up would have to equal 180 and with two right angles it would be more than 180, there cannot be two right angles in a triangle.

A triangle cannot have two right angles because a triangle has 3 sides and its interior is 180°.

It should be noted that the sum of angles that are in a triangle is 180°. On the other hand, the sum of angles that are in a right angle is 90° each.

Therefore, in a case that there are two angles, this means the total values will be: = 90 × 2 = 180°

The above shows that a triangle cannot have two right angles because there's still a third side and the angle can not be zero for the remaining side.

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