Question

Assertion :If the area of squares on any two sides of a right-angled triangle are known, the area of remaining square can be calculated. Reason: For a right triangle, the area of the square on the hypotenuse is equal to the sum of the areas of the squares of its remaining two sides.

• A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
• B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
• C. Assertion is correct but Reason is incorrect
• D. Both Assertion and Reason are incorrect

Answer 1

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

For a right triangle, the area of the square on the hypotenuse is equal to the sum of the areas of the squares of its remaining two sides i.e.[$\text{area of square on hypotenuse= area of square on base+ area of square on height}]$

Hence if we know the area of square on any two sides of a right angle triangle then we can easily calculate the area of remaining square by above formula.

So, reason is correct explanation of assertion.