Q. 175.0( 1 Vote )

In Fig. 4.236, <s

Class 10th RD Sharma - Mathematics 4. Triangles

Answer :

Given in the given figure PQ || BC and AP: PB = 1: 2

We know that basic proportionality theorem states that if a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, then the other two sides are divided in the same ratio.

Since Δ APQ and ΔABC are similar,

Given

⇒ PB = 2AP

So,

we know that the ratio of areas of two similar triangles is equal to the square of the ratio of their corresponding sides.

∴ Area (ΔAPB): Area (ΔABC) = 1: 9

Rate this question :

How useful is this solution?

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

PREVIOUSThe lengths of th NEXTIn Fig. 4.237, LM

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