The area of a triangle is 1470 cm2. If the base of this triangle is (3/5)th of the height corresponding to that base, then what will be the height of the triangle?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 70 cm.
Area of triangle = 1/2 × b × h
here, b(base) = 3h/5, and h = height
⇒ 1470 = 1/2 × (3h/5) × h
⇒ 1470 = 1/2 × 3/5h2
⇒ h2 = (1470 × 5 × 2)/3
⇒ h2 = 4900
⇒ h = 70
Hence, the height of the triangle is 70 cm