Triangles MCQs

Q1. AA similarity needs how many pairs of equal angles to be stated?

• A.two
• B.one
• C.three
• D.none

Answer: A. two

NCERT fact (math, chapter 'Triangles'): Two equal angle pairs are enough (third follows). Why option A fits - Correct. Distractor analysis: option B) 'one' doesn't hold - One equal angle is not enough; option C) 'three' fails since Two suffice; the third follows from the angle sum. Final answer - A) two.

Q2. A telephone-line worker rests a stayed ladder 97 m long against a pole so that its top reaches 72 m up. How far from the base of the wall is the foot of the ladder?

• A.25 m
• B.169 m
• C.65 m
• D.121 m

Answer: C. 65 m

The ladder is the hypotenuse, so foot = sqrt(97^2 - 72^2) = sqrt(9409 - 5184) = sqrt(4225) = 65 m.

Q3. A library assistant rests a sliding ladder 50 m long against a tall bookshelf so that its top reaches 48 m up. How far from the base of the wall is the foot of the ladder?

• A.14 m
• B.98 m
• C.2 m
• D.69 m

Answer: A. 14 m

The ladder is the hypotenuse, so foot = sqrt(50^2 - 48^2) = sqrt(2500 - 2304) = sqrt(196) = 14 m.