Class 10 Maths Triangles MCQ
1. The ratio of the corresponding sides of two similar triangles is 1: 3. The ratio of their corresponding heights is
2. A tower of height 24m casts a shadow 50m and at the same time, a girl of height 1.8m casts a shadow. Find the length of the shadow of girl.
3. If the distance between the top of two trees 20 m and 28 m tall is 17 m, then the horizontal distance between the trees is :
4. If Δ ABC and Δ DEF are similar such that 2AB = DE and BC = 8 cm, then Find EF.
5. △ ABC is such that AB = 3 cm, BC = 2 cm and CA = 2.5 cm.△ DEF is similar to △ABC. If EF = 4 cm, then the perimeter of △DEF is –
6. O is a point on side PQ of a APQR such that PO = QO = RO, then
7. In ABC, DE || AB. If CD = 3 cm, EC = 4 cm, BE = 6 cm, then DA is equal to
8. In a square of side 10 cm, its diagonal = …
9. In a rectangle Length = 8 cm, Breadth = 6 cm. Then its diagonal = …
10. In a rhombus if d1 = 16 cm, d2 = 12 cm, its area will be…
11. In a rhombus if d1 = 16 cm, d2 = 12 cm, then the length of the side of the rhombus is
12. D and E are respectively the points on the sides AB and AC of a triangle ABC such that AD = 2 cm, BD = 3 cm, BC = 7.5 cm and DE || BC. Then, length of DE (in cm) is
13. In ΔABC, if DE || BC, AD = x, DB = x – 2, AE = x + 2 and EC = x – 1, then value of x is
14. The perimeters of two similar triangles ABC and PQR are 60 cm and 36 cm respectively. If PQ = 9 cm, then AB equals
15. If ΔABC is similar to ΔDEF such that 2 AB = DE and BC = 8 cm then EF is equal to.
16. In ΔABC, AB = 6 cm and DE || BC such that AE = 14 AC then the length of AD is
17. ΔABC ~ ΔDEF. If AB = 4 cm, BC = 3.5 cm, CA = 2.5 cm and DF = 7.5 cm, then the perimeter of ΔDEF is
18. ΔABC and ΔBDE are two equilateral triangles such that D is the mid point of BC. Ratio of the areas of triangle ΔABC and ΔBDE is.
19. If the ratio of the perimeters of two similar triangles is 4 : 25, then the ratio of the areas of the similar triangles is
20. In ΔLMN, ∠L = 50° and ∠N = 60°, If ΔLMN ~ ΔPQR, then find ∠Q
21. Two isosceles triangles have equal angles and their areas are in the ratio 16: 25. The ratio of corresponding heights is:
22. If △ ABC ~ △ DEF such that AB = 12 cm and DE = 14 cm. Find the ratio of areas of △ ABC and △ DEF.
23. In ABC, Given that DE//BC, D is the midpoint of AB and E is a midpoint of AC. The ratio AE: EC is __.
24. In ΔABC, AC = 15 cm and DE || BC. If AB/AD=3, Find EC.
25. In △ ABC and △ DEF, ∠A = ∠E = 40∘ and AB/ED=AC/EF. Find ∠B if ∠F is 65°
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