Question

Fig, PA, QB, RC and SD are all perpendiculars to a line I, AB = 6 cm, BC = 9 CD = 12 cm and SP = 36 cm. Find PQ, QR and RS. PLEASE SEE THE FIGURE ATTACHED​

Answer 1

Answer:

We need to find the ratio of line AB, BC & CA in order to find PQ, QR & RS.

Ratio of AB, BC, CA = Ratio of PQ, QR, RS

From, Ratio of AB,BC,CA we see that they are arranged in ratios 2:3:4.

∵PQ, QR, RS = 2x:3x:4x

Value of x = 36 ÷ (2 + 3 + 4)

                      = 36 ÷ 9 = 4

∴PQ = (2 x 4) = 8cm

QR = (3 x 4) = 12cm

RS = (4 x 4) = 16cm

Conclusion/Check:

If you add the value of PQ, QR & RS, you'll get 36.

Notes:

M-A-B