CBSE Class 10-Mathematics: Chapter – 6 Triangles Part 18 (For CBSE, ICSE, IAS, NET, NRA 2022)

Doorsteptutor material for CBSE/Class-10 is prepared by world's top subject experts: get questions, notes, tests, video lectures and more- for all subjects of CBSE/Class-10.

Question 2:

Prove that the ratio of areas of two similar triangles are in the ratio of the squares of the corresponding sides. By using the above theorem solve in two similar triangles PQR and LMN, and . Find the ratio of areas of two triangles.

Answer:

Given: Two triangles ABC and DEF

Such that

To Prove:

Construction: Draw

Proof:

Again, in we have

Further,

From (ii) and (iii) ,

Putting in (i) , we get

Hence, required ratio is 9: 4.