Question

solve this question .

Answer 1

If ∆ ABR ~ ∆PQR ,
Then,
AB/PQ = BR/QR = AR/PR
so,AB/PQ = BR/QR
= 45/30 = BR /42
= BR = 63cm
Now,
AB/PQ = AR/PR
= 45/30= AR/(72-AR)
= 45×(72-AR)= 30AR
= 3240 - 45AR = 30AR
= 75AR = 3240
= AR = 43.2 cm