# geometry/trigonometry

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Triangle ABC is similar to triangle APQ with angle CBA equal to angle QPA and angle A common to both triangles. the length of sides AB, AP and PQ are 90cm,60cm and 30 cm. calculate the length of the side BC

• geometry/trigonometry -

ab/ap = 90/60 = 3/2
so
bc/pq = 3/2
but pq = 30
so
bc = 30 (3/2) = 45

• geometry/trigonometry -

cheers Damon

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