Similarity, BPT, Pythagoras, area ratiosPractice Questions & MCQs
Practice Similarity, BPT, Pythagoras, area ratios 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.
Similarity, BPT, Pythagoras, area ratiosQuiz - Solve & Score
Q1. ABC is right-angled at C. CD is the altitude from C onto AB. If AD = 4 and DB = 9, the length CD equals:
- A.6
- B.5
- C.13/2
- D.√13
Answer: A. 6
Reading the problem, 4, 9 (math, chapter 'Triangles'). Our target: the unknown asked. From the chapter we use the relation: Geometric-mean relation CD² = AD·DB = 36, so CD = 6. The arithmetic is: Geometric-mean relation CD² = AD·DB = 36, so CD = 6. Trap: 13/2 takes arithmetic mean. That lands on option A) 6.
Q2. Two triangles have a common vertex and their bases lie on the same line. The ratio of their areas equals:
- A.Ratio of their bases
- B.Square of base ratio
- C.Ratio of their other sides
- D.Always 1:1
Answer: A. Ratio of their bases
The idea this question leans on: Common altitude from common vertex; area ∝ base. Hence the answer is A) Ratio of their bases.
Q3. In triangle PQR, M and N are midpoints of PQ and PR respectively. The ratio [PMN]:[trapezium MQRN] equals:
- A.1:3
- B.1:2
- C.1:4
- D.2:3
Answer: A. 1:3
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