Answer :

It is given that ΔABC is similar to ΔPQR

**Given: Δ ABC ~ Δ PQR**

**AD and PM are medians**

We know that the corresponding sides of similar triangles are in proportion

..........eq(i)

And also the corresponding angles are equal∠A = ∠P

∠B = ∠Q

∠C = ∠R ..........eq(ii)

Since AD and PM are medians, they divide their opposite sides in two equal parts

BD = and,

QM = .......eq(iii)

From (i) and (iii), we get

(iv)

In ΔABD and ΔPQM,

∠B = ∠Q [Using (ii)]

[Using (iv)]

ΔABD ΔPQM (Since two sides are proportional and one angle is equal then by SAS similarity)

Hence, Proved

Rate this question :

How useful is this solution?

We strive to provide quality solutions. Please rate us to serve you better.

Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Expertsview all courses

Dedicated counsellor for each student

24X7 Doubt Resolution

Daily Report Card

Detailed Performance Evaluation