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प्रश्न
If ΔXYZ ~ ΔPQR then `"XY"/"PQ" = "YZ"/"QR"` = ?
पर्याय
`"XZ"/"PR"`
`"XZ"/"PQ"`
`"XZ"/"QR"`
`"YZ"/"PQ"`
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उत्तर
`"XZ"/"PR"`
In ΔXYZ and ΔPQR,
ΔXYZ ~ ΔPQR ...(Given)
`"XY"/"PQ" = "YZ"/"QR" = "XZ"/"PR"` ...[Corresponding sides of similar triangles.]
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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.
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Now, A(ΔPQB) = `1/2 xx square xx square`
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Therefore,
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= `square/square`
