Q. 33

# Prove that the ra

Answer : Let us assume two similar triangles as ΔABC ΔPQR.

Let AD and PS be the medians of these triangles

Then, because ΔABC ΔPQR (i)

A = P, B = Q, C = R …(ii)

Since AD and PS are medians,

BD = DC = BC/2

And, QS = SR = QR/2

Equation (i) becomes, …(iii)

In ΔABD and ΔPQS,

B = Q [From (ii)] [From (iii)]

ΔABD ΔPQS (SAS similarity)

Therefore, it can be said that  From (i) and (iv), we get and hence, 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 Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses RELATED QUESTIONS :

<img width=RD Sharma - Mathematics

<img width=RD Sharma - Mathematics

If <img widRD Sharma - Mathematics

The areas of two RD Sharma - Mathematics

The areas of two RD Sharma - Mathematics

In Fig. 4.236, <sRD Sharma - Mathematics

If <img widRD Sharma - Mathematics

If the altitude oRD Sharma - Mathematics

If the areas of tRD Sharma - Mathematics