Question

PQR and TQR are two triangles on the same hypotenuse QR If PR and QT intersect at M, prove that (PM) (MR)=(QM) (TM)​

Answer 1

Answer:

4.5 cm

Step-by-step explanation:

Prove that ΔPQM is similar to ΔSRM

∠QPM = ∠MSR (Both are 90º)

∠ PMQ = ∠ SMR (vertically opposite angles)

By AA property, ΔPQM is similar to ΔSRM

Using the property of similar figures:

PM/SM = MQ/MR

3/4 = MQ/6

4MQ = 3 x 6

4MQ = 18

MQ = 18 ÷ 4 = 4.5 cm

Answer: MQ = 4.5 cm

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