Area of an Equilateral Triangle

Q. Question 6
If the area of an equilateral triangle is $16\sqrt{3}c{m}^2$, then the perimeter of the triangle is

Q.

The perimeter of a right triangle is 60 cm and it's hypotenuse is 25 cm l. Find the area of the triangle

Q.

Find the area of an equilateral triangle whose perimeter is 60 cm

Q. Question 2
The perimeter of an equilateral triangle is 60m. The area is

Q. Question 5
The length of each side of an equilateral triangle having an area of $9\sqrt{3}c{m}^2$ is

Q. Question 4
The area of an equilateral triangle with side $2\sqrt{3}cm$ is

Q.

If the area of an isosceles triangle is 60 cm²and the length of each of its equal sides is 13 cm, find its base

Q. A square and an equilateral triangle have equal perimeters. If the diagonal of the square is $12\sqrt{2}cm$, then the area of the triangle is:

1. $24\sqrt{2}c{m}^2$
2. $24\sqrt{3}c{m}^2$
3. $64\sqrt{3}c{m}^2$
4. $48\sqrt{3}c{m}^2$

Q.

The height of an equilateral triangle measures 9 cm. Find its area, correct to 2 places of decimal. $(Take\sqrt{3}=\mathrm{1.732.})$

Q. If the area of an isoceles triangle is 8 cm, what is its perimeter

Q.

If each side of an equilateral triangle is increased by 2 cm, then its area increases by 3√3 cm². The length of its each side and its area are respectively equal to

1. 3 cm, √3 cm²

2. 2 cm, √8 cm²

3. 2 cm, √3 cm²

4. 2 cm, √5 cm²

Q.

The perimeter of an isosceles right angled triangle having an area of 200 cm² is

1. 68.5 cm

2. 88.2 cm

3. 69.2 cm

4. 68.2 cm

Q.

The perimeter of an isosceles triangle is 32 cm and its base is 12 cm and one of its equal sides form the diagonals of a paralleleogram. Find the area of the paralleleogram.

Q.

$\text{The area of an equilateral triangle is}36\sqrt{3}c{m}^2.\text{Its perimeter is}\left(a\right)36cm\left(b\right)12\sqrt{3}cm\left(c\right)24cm\left(d\right)30cm$

Q.

Question 111

A square and an equilateral triangle have a side in common. If the side of the triangle is $\frac{4}{3}$ cm long, find the perimeter of the figure formed (see the figure).

Q.

The area of an equilateral triangle is 16 root 3 cm^2.Find its perimeter.

Q.

Find the area of this right angled triangle.

Q. the semi perimeter of a triangle exceeds each of its side by 5, 3, 2 respectively . what is its perimeter

Q. A square and an equilateral triangle have equal perimeters. If the diagonal of the square is $12\sqrt{2}$ cm, then area of the triangle is

(a) $24\sqrt{2}c{m}^2$

(b) $24\sqrt{3}c{m}^2$

(c) $48\sqrt{3}c{m}^2$

(d) $64\sqrt{3}c{m}^2$

Q. The semi-perimeter, s, of a triangle having sides 5 cm, 8 cm and 12 cm is

1. 25 cm
2. 50 cm
3. 12.5 cm
4. 15 cm

Q.

Find the area of an equilateral triangle whose each side is $a$ cm.

Q.

The sides of an equilateral triangle are (2a - b + 5), (a + b) and (2b - a + 2). What is the area of the triangle?

1. $\frac{\sqrt{3}}{4}\times a^2$

2. $\frac{\sqrt{3}}{4}\times 49$

3. $\frac{\sqrt{3}}{4}\times 81$

4. $\frac{\sqrt{3}}{4}\times b^2$

Q.

Each side of an equilateral triangle measures 8 cm. Find (i) the area of the triangle, correct to 2 places of decimal and (ii) the height of the triangle, correct to 2 places of decimal. $(Take\sqrt{3}=\mathrm{1.732.})$

Q. Question 4
Complete the hexagonal and star shaped rangolies (see the given figures) by filling them with as many equilateral triangles of side 1 cm as you can. Count the number of triangles in each case. Which has more triangles?

Q.

$\text{The area of an equilateral triangle is}81\sqrt{3}c{m}^2.\text{Its height is}\left(a\right)9\sqrt{3}cm\left(b\right)6\sqrt{3}cm\left(c\right)18\sqrt{3}cm\left(d\right)9cm$

Q. Question 7
Write True or False and justify your answer:

The area of a regular hexagon of side ‘a’ is the sum of the areas of the five equilateral triangles with side 'a'.

Q.

What is the area of this triangle? [2 MARKS]

Q. Question 4
The area of an equilateral triangle with side $2\sqrt{3}cm$ is

Q. A caution sign is shown in the given figure. Find the area to be painted in red (shaded in figure), in order to warn the people about the danger ahead. [Use $\sqrt{3}=1.732$]

1. $443.4c{m}^2$
2. $440.4c{m}^2$
3. $438.4c{m}^2$
4. $449.4c{m}^2$

Q.

What is the area of an equilateral triangle whose side is $\text{8 cm}$?

1. 16√3cm²

2. 6√3cm²

3. 16√5 cm²

4. 16cm²