Areas of similar trianglesPractice Questions & MCQs
Practice Areas of similar triangles questions from Triangles (Class 10 Maths) - important MCQs with answers and step-by-step solutions. Solve the sample questions below, then practice the full set free on the RankByte app.
Areas of similar trianglesQuiz - Solve & Score
Q1. A triangle's sides are halved. Its new area is what fraction of the original?
- A.one quarter
- B.one half
- C.unchanged
- D.one eighth
Answer: A. one quarter
Q2. If the side ratio of two similar triangles is 2:3 and the smaller area is 20, the larger area is:
- A.60
- B.45
- C.40
- D.30
Answer: B. 45
Diagnose the question type - a typical math numerical. The data on the table: 2, 3, 20. We are after the quantity the stem asks for. Tool of choice - Larger area = 20 x (3^2/2^2) = 20 x 9/4 = 45. Rearrange it for the unknown before substituting. Numbers in: Larger area = 20 x (3^2/2^2) = 20 x 9/4 = 45. Lock in option B) 45. Trap-watch: option A) '60' fails since 20 x 9/4 = 45, not 60; option C) '40' is wrong because Use the square of the ratio: 45.
Q3. The ratio of areas of two similar triangles equals (NCERT):
- A.the cube of the side ratio
- B.the ratio of sides
- C.1
- D.the square of the ratio of corresponding sides
Answer: D. the square of the ratio of corresponding sides
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Are these Areas of similar triangles questions important for the exam?
Yes. These Areas of similar triangles important questions follow the Maths exam pattern (CBSE Boards, plus JEE and NEET foundation), so they help with both school and competitive prep.
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