## RD Sharma Class 9 Solutions Chapter 17 Constructions MCQS

These Solutions are part of RD Sharma Class 9 Solutions. Here we have given RD Sharma Class 9 Solutions Chapter 17 Constructions MCQS

Other Exercises

- RD Sharma Class 9 Solutions Chapter 17 Constructions Ex 17.1
- RD Sharma Class 9 Solutions Chapter 17 Constructions Ex 17.2
- RD Sharma Class 9 Solutions Chapter 17 Constructions VSAQS
- RD Sharma Class 9 Solutions Chapter 17 Constructions MCQS

Mark the correct alternative in each of the following:

Question 1.

The sides of a triangle are 16 cm, 30 cm, 34 cm. Its area is

(a) 225 cm²

(b) 225\(\sqrt { 3 } \) cm²

(c) 225\(\sqrt { 2 } \) cm²

(d) 240 cm²

Solution:

Sides of triangle and 16 cm, 30 cm, 34 cm

Question 2.

The base of an isosceles right triangle is 30 cm. Its area is

(a) 225 cm²

(b) 225\(\sqrt { 3 } \) cm²

(c) 225\(\sqrt { 2 } \) cm²

(d) 450 cm²

Solution:

Base of isosceles triangle ∆ABC = 30cm

Let each of equal sides = x

Then AB = AC = x

Now in right ∆ABC,

Question 3.

The sides of a triangle are 7cm, 9cm and 14cm. Its area is

(a) 12\(\sqrt { 5 } \) cm²

(b) 12\(\sqrt { 3 } \) cm²

(c) 24 \(\sqrt { 5 } \) cm²

(d) 63 cm²

Solution:

Question 4.

The sides of a triangular field are 325 m, 300 m and 125 m. Its area is

(a) 18750 m²

(b) 37500 m²

(c) 97500 m²

(d) 48750 m²

Solution:

Sides of a triangular field are 325m, 300m, 125m

Question 5.

The sides of a triangle are 50 cm, 78 cm and 112 cm. The smallest altitude is

(a) 20 cm

(b) 30 cm

(c) 40 cm

(d) 50 cm

Solution:

The sides of a triangle are 50 cm, 78 cm, 112cm

Question 6.

The sides of a triangle are 11m, 60m and 61m. Altitude to the smallest side is

(a) 11m

(b) 66 m

(c) 50 m

(d) 60 m

Solution:

Sides of a triangle are 11m, 60m and 61m

Question 7.

The sides of a triangle are 11 cm, 15 cm and 16 cm. The altitude to the largest side is

Solution:

Sides of a triangle are 11 cm, 15 cm, 16 cm

Question 8.

The base and hypotenuse of a right triangle are respectively 5cm and 13cm long. Its area is

(a) 25 cm²

(b) 28 cm²

(c) 30 cm²

(d) 40 cm²

Solution:

In a right triangle base = 5 cm

base hypotenuse = 13 cm

Question 9.

The length of each side of an equilateral triangle of area 4 \(\sqrt { 3 } \) cm², is

Solution:

Area of an equilateral triangle = 4\(\sqrt { 3 } \) cm²

Let each side be = a

Question 10.

If the area of an isosceles right triangle is 8cm, what is the perimeter of the triangle.

(a) 8 + \(\sqrt { 2 } \) cm²

(b) 8 + 4\(\sqrt { 2 } \) cm²

(c) 4 + 8\(\sqrt { 2 } \) cm²

(b) 12\(\sqrt { 2 } \) cm²

Solution:

Let base = x

ABC an isosceles right triangle, which has 2 sides same

⇒ Height = x

Question 11.

The length of the sides of ∆ABC are consecutive integers. If ∆ABC has the same perimeter as an equilateral triangle with a side of length 9cm, what is the length of the shortest side of ∆ABC?

(a) 4

(b) 6

(c) 8

(d) 10

Solution:

Side of an equilateral triangle = 9 cm

Its perimeter = 3 x 9 = 27 cm

Now perimeter of ∆ABC = 27 cm

and let its sides be x, x + 1, x +2

Question 12.

In the figure, the ratio of AD to DC is 3 to 2. If the area of ∆ABC is 40cm2, what is the area of ∆BDC?

(a) 16 cm²

(b) 24 cm²

(c) 30 cm²

(d) 36 cm²

Solution:

Ratio in AD : DC = 3:2

and area ∆ABC = 40 cm²

Question 13.

If the length of a median of an equilateral triangle is x cm, then its area is

Solution:

∵ The median of an equilateral triangle is the perpendicular to the base also,

∴ Let side of the triangle = a

Question 14.

If every side of a triangle is doubled, then increase in the area of the triangle is

(a) 100\(\sqrt { 2 } \) %

(b) 200%

(c) 300%

(d) 400%

Solution:

Let the sides of the original triangle be a, b, c

Question 15.

A square and an equilateral triangle have equal perimeters. If the diagonal of the square is 1272 cm, then area of the triangle is

Solution:

A square and an equilateral triangle have equal perimeter

Hope given RD Sharma Class 9 Solutions Chapter 17 Constructions MCQS are helpful to complete your math homework.

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