Question

What is the height of a right-angled triangle?
(1) The area of the right-angled triangle is equal to the area of a rectangle whose breadth is 12 cm.
(2) The length of the rectangle is 18 cm

• A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient
• B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient
• C. BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient
• D. Statements (1) and (2) TOGETHER are NOT sufficient

Answer 1

The correct option is D Statements (1) and (2) TOGETHER are NOT sufficient

(I) ⇒⇒ Area of right-angled triangle =12×L=12×L
(2) ⇒L=18cm⇒L=18cm.
∴∴ Using (1) and (2) we can only calculate the area of right-angled triangle. Since we don't know the base of triangle, the height cannot be calculated.