## RD Sharma Class 9 Solutions Chapter 17 Constructions VSAQS

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

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

Question 1.

Find the area of a triangle whose base and altitude are 5 cm and 4 cm respectively.

Solution:

In ∆ABC,

Base BC = 5cm

Altitude AD = 4cm

Question 2.

Find the area of a triangle whose sides are 3 cm, 4 cm and 5 cm respectively.

Solution:

Sides of triangle are 3 cm, 4cm and 5cm

Question 3.

Find the area of an isosceles triangle having the base x cm and one side y cm.

Solution:

In isosceles ∆ABC,

AB = AC = y cm

BC = x cm

Question 4.

Find the area of an equilateral triangle having each side 4 cm.

Solution:

Each side of equilateral triangle (a) = 4cm

Question 5.

Find the area of an equilateral triangle having each side x cm.

Solution:

Question 6.

The perimeter of a triangular field is 144 m and the ratio of the sides is 3 : 4 : 5. Find the area of the field.

Solution:

Perimeter of the field = 144 m

Ratio in the sides = 3:4:5

Sum of ratios = 3 + 4 + 5 = 12

Question 7.

Find the area of an equilateral triangle having altitude h cm.

Solution:

Altitude of an equilateral triangle = h

Let side of equilateral triangle = x

Question 8.

Let ∆ be the area of a triangle. Find the area of a triangle whose each side is twice the side of the given triangle.

Solution:

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

Hence area of new triangle = 4 x area of original triangle.

Question 9.

If each side of a triangle is doubled, then find percentage increase in its area.

Solution:

Sides of original triangle be a, b, c

Question 10.

If each side of an equilateral triangle is tripled then what is the percentage increase in the area of the triangle?

Solution:

Let the sides of the original triangle be a, b, c and area ∆, then

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

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