Question

STATEMENT - 1 : In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
STATEMENT - 2 : If in a triangle, square of one side is equal to the sum of the squares of the other two sides, then the angle opposite the first side is $60$ ${}^{\circ }$.

• A. Statement - 1 is True, Statement - 2 is True, Statement - 2 is a correct explanation for Statement - 1
• B. Statement - 1 is True, Statement - 2 is True : Statement 2 is NOT a correct explanation for Statement - 1
• C. Statement - 1 is True, Statement - 2 is False
• D. Statement - 1 is False, Statement - 2 is True

Answer 1

Answer: (C)

Statement - 1 is True, Statement - 2 is False

Statement $1$ is true as it follows Pythagoras theorem.

Now in statement $2$ it is given that it follows Pythagoras theorem , so it is a right angled triangle. Now the angle opposite to the first side is ${90}^{\circ }$ .So statement $2$ is not correct.

Hence option $C$ is correct.