Asked by Raquel
In trianglePQR, if AB//QR, PA=3cm, PQ=8cm, and QR=9cm, how long is AB?
Answers
Answered by
Arora
The two triangles formed (PAB and PQR) are similar.
Ratio of sides = PA/PQ
= 3/8
The ratio remains constant for all pairs of sides, in similar triangles.
=> AB/QR = 3/8
=> AB = (3/8)*QR
=> AB = (3/8)*9
= 27/8 cm
Ratio of sides = PA/PQ
= 3/8
The ratio remains constant for all pairs of sides, in similar triangles.
=> AB/QR = 3/8
=> AB = (3/8)*QR
=> AB = (3/8)*9
= 27/8 cm
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