Hard Math Class 9 Level 3

A triangle has area 300 cm² and the ratio of base to height is 5:4. What is the height?

एक त्रिभुज का क्षेत्रफल 300 cm² है और आधार तथा ऊंचाई का अनुपात 5:4 है। ऊंचाई कितनी होगी?

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Correct Answer

C. 24 cm / 24 cm

Explanation

Let base be 5k and height be 4k. Then 300 = 10k² so k² = 30 and the height is not an integer.

आधार 5k और ऊंचाई 4k मानने पर 300 = 1/2 × 5k × 4k = 10k² इसलिए k² = 30 और ऊंचाई पूर्णांक नहीं है।

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