Find the height of the triangle whose base is two-thirds of its height and whose area is 363 cm2.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 33 cm.
Let, height = 3a and Base = 2a
So, (1/2) × 3a × 2a = 363
⇒ 3a2 = 363
⇒ a2 = 121
⇒ a = 11
⇒ 3a = 3 × 11 = 33
Hence, the height of the triangle is 33 cm.