Can a triangle have two right angles, and why or why not?
a No, because a triangle must have an obtuse angle
b Yes, because it would be a right triangle
c Yes, because 90 + 90 = 180
d No, because there needs to be a third angle
d No, because there needs to be a third angle
d No, because there needs to be a third angle
The correct answer is d) No, because there needs to be a third angle.
To understand why a triangle cannot have two right angles, we need to remember some properties of triangles. A triangle is a polygon with three sides and three angles. The sum of the angles in any triangle is always 180 degrees.
If a triangle has two right angles, each measuring 90 degrees, the sum of the angles would be 180 + 90 + 90 = 360 degrees. However, we know that the sum of the angles in a triangle is always 180 degrees, not 360 degrees. This means that it is impossible for a triangle to have two right angles.
Therefore, the correct answer is that a triangle cannot have two right angles, and option d) No, because there needs to be a third angle is the correct explanation.