हिंदी में जवाब दो: Can a triangle have two right angles? Explain your reasoning.

Step 1: Sum of Angles in a Triangle

We know that the sum of the interior angles of any triangle is always equal to $180^\circ$. This is a fundamental property of triangles.

Step 2: Assume Two Right Angles

Let's assume, for the sake of contradiction, that a triangle has two right angles. A right angle measures $90^\circ$. So, let two angles of the triangle, say $\angle A$ and $\angle B$, each be $90^\circ$.

Step 3: Calculate Sum of Two Angles

If two angles are $90^\circ$ each, their sum would be $90^\circ + 90^\circ = 180^\circ$.

Step 4: Determine the Third Angle

According to the angle sum property, the third angle, $\angle C$, would be $180^\circ - (\angle A + \angle B)$. Substituting the sum of the two right angles, we get $\angle C = 180^\circ - 180^\circ = 0^\circ$.

Step 5: Conclusion

A triangle must have three positive angles. An angle of $0^\circ$ means that the two sides forming the angle would lie on top of each other, effectively collapsing the triangle into a line segment. Therefore, a triangle cannot have two right angles.

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