[CLASS 10] Mathematics MCQs on Area of Similar Triangle

Mathematics Question Bank for Class 10 on “Area of Similar Triangle”.

1. If the areas of two similar triangles are in the ratio 361:529. What would be the ratio of the corresponding sides?
a) 19 : 23
b) 23 : 19
c) 361 : 529
d) 15 : 23
Answer: a

2. What will be the value of BC if the area of two similar triangles ∆ABC and ∆PQR is 64cm² and 81cm² respectively and the length of QR is 15cm.
a) (frac {40}{9})
b) (frac {40}{6})
c) (frac {4}{3})
d) (frac {40}{3})
Answer: d

3. The areas of two similar triangles are 100cm² and 64cm². If the altitude of the smaller triangle is 5.5 cm, then what will be the altitude of the corresponding bigger triangle?
a) 4.4 cm
b) 4.5 cm
c) 2.4 cm
d) 2.5 cm
Answer: a

4. The area of two similar triangles is 25cm² and 121cm². If the median of the bigger triangle is 10 cm, then what will be the corresponding median of the smaller triangle?
a) (frac {51}{11})
b) (frac {10}{11})
c) (frac {50}{11})
d) (frac {5}{11})
Answer: d

5. ∆ABC ∼ ∆PQR, AD & PS are the angle bisectors of respectively. If AD = 1.5cm and PS = 2.3 cm then, what will be the ratio of the areas of ∆ABC and ∆PQR?
a) 19 : 15
b) 225 : 529
c) 529 : 225
d) 15 : 17
Answer: b

6. In the given figure, AC is the angle bisector and AB = 5.2 cm, AD = 4.5 cm. What will be ratios of areas of ∆ABC and ∆ACD?
a) 131 : 90
b) 131 : 91
c) 121 : 81
d) 120 : 80
Answer: c

7. What will be the ratios of areas of similar ∆ABC and ∆PQR, if the altitudes of the triangles are 10cm and 5.5cm respectively?
a) 150 : 4
b) 300 : 7
c) 100 : 3
d) 400 : 9
Answer: d

8. If two triangles are similar, then the ratio of their areas will equal to ratio of the corresponding sides.
a) True
b) False

Answer: b