If triangle abc is similar to triangle pqr such that bc = 12 cm, area of triangle abc= 72cm^2 and area of triangle pqr= 128cm^2, determine qr.
Answers
Answered by
2
∵triangles r similar so d ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides
that is
ar(abc)/ar(pqr) = (ab/pq)sq = (bc/qr)sq =(ca/rp)sq
72/128 = (12)sq/(qr)sq
72/128 = 144/(qr)sq
(qr)sq = 144*188/72
(qr)sq = 376
qr = √376
qr = 19.39cm
hope it helps........
Similar questions