**CBSE Class 10 Maths – MCQ and Online Tests – Unit 6 – Triangles**

Every year CBSE conducts board exams for 10th standard. These exams are very competitive to all the students. So our website provides online tests for all the 10th subjects. These tests are also very effective and useful for those who preparing for competitive exams like NEET, JEE, CA etc. It can boost their preparation level and confidence level by attempting these chapter wise online tests.

These online tests are based on latest CBSE Class 10 syllabus. While attempting these our students can identify the weak lessons and continuously practice those lessons for attaining high marks. It also helps to revise the NCERT textbooks thoroughly.

**CBSE Class 10 Maths – MCQ and Online Tests – Unit ****6 – Triangles**

Question 1.

In the given figure, ∠T and ∠B are right angles. If the length of AT, BC and AS (in centimeters) are 15, 16, and 17 respectively, then the length of TC (in centimeters) is:

(a) 18

(b) 16

(c) 19

(d) 12

## Answer

Answer: (c) 19

Question 2.

In the given figure, value of x(in cm) is

(a) 4

(b) 5

(c) 6

(d) 8

## Answer

Answer: (b) 5

Question 3.

In the given figure ΔABC ~ ΔPQR. The value of x is

(a) 2.5 cm

(b) 3.5 cm

(c) 2.75 cm

(d) 3 cm

## Answer

Answer: (d) 3 cm

Question 4.

In ΔABC, if DE || BC, AD = x, DB = x – 2, AE = x + 2 and EC = x – 1, then value of x is

(a) 3

(b) 4

(c) 5

(d) 3.5

## Answer

Answer: (b) 4

Question 5.

The perimeters of two similar triangles ABC and PQR are 60 cm and 36 cm respectively. If PQ = 9 cm, then AB equals

(a) 6 cm

(b) 10 cm

(c) 15 cm

(d) 24 cm

## Answer

Answer: (c) 15 cm

Question 6.

If ΔABC is similar to ΔDEF such that 2 AB = DE and BC = 8 cm then EF is equal to.

(a) 12 cm

(b) 4 cm

(c) 16 cm

(d) 8 c

## Answer

Answer: (c) 16 cm

Question 7.

In ΔABC, AB = 6 cm and DE || BC such that AE = \(\frac{1}{4}\) AC then the length of AD is

(a) 2 cm

(b) 1.2 cm

(c) 1.5 cm

(d) 4 cm

## Answer

Answer: (c) 1.5 cm

Question 8.

In the given figure DE || AC which of the following is true?

(a) x = \(\frac{a+b}{ay}\)

(b) y = \(\frac{ax}{a+b}\)

(c) x = \(\frac{ay}{a+b}\)

(d) \(\frac{x}{y}\) = \(\frac{a}{b}\)

## Answer

Answer: (c) x = \(\frac{ay}{a+b}\)

Question 9.

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

(a) 10 cm

(b) 14 cm

(c) 30 cm

(d) 25 cm

## Answer

Answer: (c) 30 cm

Question 10.

In the figure PQ || BC. If \(\frac{PQ}{BC}\) = \(\frac{2}{5}\) then \(\frac{AP}{PB}\) is

(a) \(\frac{2}{5}\)

(b) \(\frac{2}{3}\)

(c) \(\frac{3}{2}\)

(c) \(\frac{3}{5}\)

## Answer

Answer: (b) \(\frac{2}{3}\)

Question 11.

In the given figure, ΔACB ~ ΔAPQ. If AB = 6 cm, BC = 8 cm, and PQ = 4 cm then AQ is equal to

(a) 2 cm

(b) 2.5 cm

(c) 3 cm

(d) 3.5 cm

## Answer

Answer: (c) 3 cm

Question 12.

ΔDEF ~ ΔABC. If DE : AB = 2 : 3 and ar ΔDEF is equal to 44 square units then ar (ΔABC) (square unit) is

(a) 99

(b) 120

(c) \(\frac{176}{9}\)

(d) 66

## Answer

Answer: (a) 99

Question 13

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.

(a) 2 : 1

(b) 1 : 2

(c) 4 : 1

(d) 1 : 4

## Answer

Answer: (c) 4 : 1

Question 14.

If ΔABC ~ ΔPQR, \(\frac{ar ΔABC}{ar ΔPQR}\) = \(\frac{9}{4}\) and AB = 18 cm, then the length of PQ is

(a) 14 cm

(b) 8 cm

(c) 10 cm

(d) 12 cm

## Answer

Answer: (d) 12 cm

Question 15.

In the given figure ΔABC ~ ΔPQR, PM is median of ΔPQR. If ar ΔABC = 289 cm², BC = 17 cm, MR = 6.5 cm then the area of ΔPQM is

(a) 169 cm²

(b) 13 cm²

(c) 84.5 cm²

(d) 144.5 cm²

## Answer

Answer: (c) 84.5 cm²

Question 16.

If the ratio of the perimeters of two similar triangles is 4 : 25, then the ratio of the areas of the similar triangles is

(a) 16 : 625

(b) 2 : 5

(c) 5 : 2

(d) 625 : 16

## Answer

Answer: (a) 16 : 625

Question 17.

In the given figure, PQ = 24 cm, QR = 26 cm ∠PAR = 90°, PA = 6 cm, and AR = 8 cm, the degree measure of ∠QPR is

(a) 90°

(b) 100°

(c) 50°

(d) 45°

## Answer

Answer: (a) 90°

Question 18.

In the given figure the value of x is

(a) 4 cm

(b) 5 cm

(c) 8 cm

(d) 3 cm

## Answer

Answer: (c) 8 cm

Question 19.

ΔPQR is an equilateral triangle with each side of length 2p. If PS ⊥ QR, then PS is equal to

(a) \(\frac{√3}{2}\)p

(b) 2p

(c) √3p

(d) p

## Answer

Answer: (c) √3p

Question 20.

In ΔLMN, ∠L = 50° and ∠N = 60°, If ΔLMN ~ ΔPQR, then find ∠Q

(a) 50°

(b) 70°

(c) 60°

(d) 40°

## Answer

Answer: (b) 70°

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