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id ABC)At Δ ADC)AA ABC3)Fig. 1.72. Ratio of areas of two trhangies with equal heights is 2 3. If base oi the smallertnangie is o cm then what is the corresponding base of the bigger triangle? |
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Answer» Let the areas be 2x and 3x.So, 2x=1/2×base×height.Height is same in both cases, so let it be h.So, 2x=1/2×6×hTherefore x=3h/23x=1/2×b×hPutting value of x,3×3h/2=bh/2h/2 gets cancelled,3×3=b=>b=9 Base of the bigger triangle is 9. It cam be done simply by comparing the ratios, but i elaborated for understanding. |
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