Question

What is the length of the hypotenuse of a right angled triangle?
I. Area of the triangle is 40 sq. cm.
II. Perimeter of the triangle is 40 cm.

• A. If the question can be answered by anyone of the statements alone, but cannot be answered by using the other statement alone.
• B. If the question can be answered by using either statement alone.
• C. If the question can be answered by using both the statements together, but cannot be answered by using either statement alone.
• D. If the question. cannot be answered even by using both the statements together.

Answer 1

The correct option is C If the question can be answered by using both the statements together, but cannot be answered by using either statement alone.

The problem statement gives the relationship between the 3 sides by stating it is a right angled triangle.
The first statement will give the product of base and height.
The second statement gives the sum of all the sides.
We have 3 equations and 3 unknows, i.e, the question can be solved using both the statements. C