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प्रश्न
In the given figure, given that ∆ABC ∼ ∆PQR and quad ABCD ∼ quad PQRS. Determine the value of x, y, z in each case.
उत्तर
We have, `Δ ABCD ∼ Δ PQRS `
So the ratio of the sides of the quadrilaterals will be proportional to each other.
`(AB)/(PQ)=(BC)/(QR)=(CD)/(RS)=(DA)/(SP)`
Therefore put the values of the known terms in the above equation to get,
`20/7=16/x=50/y=50/(3z)`
On solving these simultaneous equations, we get
`x= 28/5`
`y=35/2`
`z=35/6`
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