Hard Math Class 9 Level 2

A triangle has area 216 cm² and the ratio of base to height is 3:4. What is the height?

एक त्रिभुज का क्षेत्रफल 216 cm² है और आधार तथा ऊंचाई का अनुपात 3:4 है। ऊंचाई कितनी होगी?

Show answer and explanation
Correct Answer

C. 24 cm / 24 cm

Explanation

Let base be 3k and height be 4k. Then 216 = 1/2 × 3k × 4k = 6k² so k = 6 and height = 24 cm.

आधार 3k और ऊंचाई 4k मानने पर 216 = 1/2 × 3k × 4k = 6k² इसलिए k = 6 और ऊंचाई 24 cm।

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