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Triangles — Class 10 CBSE Mathematics MCQs with Solutions
Free Class 10 CBSE Mathematics Triangles MCQs with step-by-step solutions. Practise online on Prepizo — no login needed.
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Sample questions with solutions
Q1 — easy
The sum of the angles of any triangle is:
A. 90°
B. 180° ✓ Correct
C. 270°
D. 360°
Solution: Angle sum property.
Q2 — easy
All congruent triangles are also:
A. similar ✓ Correct
B. right-angled
C. equilateral
D. isosceles
Solution: Congruent triangles are similar with ratio 1.
Q3 — easy
In a right triangle, the side opposite the right angle is the:
A. base
B. altitude
C. hypotenuse ✓ Correct
D. median
Solution: The hypotenuse faces the right angle.
Q4 — hard
A ladder 13 m long rests against a wall with its foot 5 m from the wall. How high does it reach?
A. 10 m
B. 11 m
C. 12 m ✓ Correct
D. 13 m
Solution: √(169−25) = 12 m.
Q5 — hard
In triangle ABC right-angled at B, if AB = 9 and BC = 12, find AC.
A. 13
B. 14
C. 15 ✓ Correct
D. 16
Solution: √(81+144) = 15.
Q6 — hard
Which criterion proves two triangles similar using two angles?
A. SSS
B. SAS
C. AA ✓ Correct
D. RHS
Solution: AA similarity criterion.
Q7 — medium
In a right triangle with legs 6 cm and 8 cm, the hypotenuse is:
A. 9 cm
B. 10 cm ✓ Correct
C. 12 cm
D. 14 cm
Solution: √(36+64) = 10 cm.
Q8 — medium
Two similar triangles have areas 25 cm² and 49 cm². The ratio of their sides is:
A. 25:49
B. 5:7 ✓ Correct
C. 7:5
D. 625:2401
Solution: Take the square root of the area ratio.
Q9 — medium
If DE ∥ BC and AD = 3, DB = 6, AE = 4, find EC.
A. 6
B. 8 ✓ Correct
C. 9
D. 12
Solution: AD/DB = AE/EC → 3/6 = 4/EC → EC = 8.