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प्रश्न
In the following figure seg AB ⊥ seg BC, seg DC ⊥ seg BC. If AB = 2 and DC = 3, find `(A(triangleABC))/(A(triangleDCB))`
उत्तर
In the following figure ΔABC and ΔDCB have a comman base BC.
`therefore(A(triangleABC))/(A(triangleDCB))=(AB)/(DC)`
(∵The ratio of areas of two triangles with the same base is equal to the ratio of their corresponding heights.)
`therefore(A(triangleABC))/(A(triangleDCB))=2/3`
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In the figure, PQ ⊥ BC, AD ⊥ BC. To find the ratio of A(ΔPQB) and A(ΔPBC), complete the following activity.
Given: PQ ⊥ BC, AD ⊥ BC
Now, A(ΔPQB) = `1/2 xx square xx square`
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Therefore,
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= `square/square`
