triangle ABC has a side of length 5 6 and 7 unit triangle pqr has perimeter of 360 unit triangle ABC is similar to triangle pqr find the sides of triangle pqr
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Dear Student,
◆ Answer -
100 units, 120 units and 140 units
● Explanation -
For similar triangles, ratio of corresponding sides is equal.
For triangles ∆ABC and ∆PQR -
AB/PQ = BC/QR = AC/PR
5/PQ = 6/QR = 7/PR
Taking x as random variable,
PQ = 5x
QR = 6x
PR = 7x
Given that triangle PQR has perimeter 360 units.
Perimeter = PQ + QR + PR
360 = 5x + 6x + 7x
360 = 18x
x = 20
So,
PQ = 5x = 5×20 = 100 unit
QR = 6x = 6×20 = 120 unit
PR = 7x = 7×20 = 140 unit
Thanks dear...
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