Question Bank - Mathematics

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The perimeters of two similar triangles ABC and PQR are 156 cm and 46.8 cm, respectively. If BC = 19.5 cm and QR = x cm, then the value of x is:

A.
5.85 cm
B.
4.29 cm
C.
3.76 cm
D.
6.75 cm

Solution:

Given:The perimeters of two similar triangles ABC and PQR = 156 cm and 46.8 cmBC = 19.5 cmCalculation:According to the question?ABC ~ ?PQRPerimeter of ?ABC/Perimeter of ?PQR = BC/QR? 156/46.8 = 19.5/x? 156x = 46.8 × 19.5? 156x = 912.6? x = (912.6/156)? x = 5.85 cm? The value of x is 5.85 cm

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