Maths-
General
Easy

Question

If the perimeter of an equilateral triangle is 420 units. find half of its area.

hintHint:

Try to find side of the equilateral triangle

The correct answer is: 4243.52


    Let side of the triangle = a units
    It is given that Perimeter of the triangle = 342 units
    cross times a = 420
    a = 140 units
    Area of  equilateral triangle = fraction numerator square root of 3 over denominator 4 end fraction a2
    = fraction numerator square root of 3 over denominator 4 end fraction (140)2  = 4900square root of 3 sq. units
    = 8487.04 sq. units
    half of its area=1cross times space 8487.04 space divided by space 2 = 4243.52

    Related Questions to study

    General
    Maths-

    The base of a triangle is four times its height. What is the area of the triangle?

    The base of a triangle is four times its height. What is the area of the triangle?

    Maths-General
    General
    Maths-

    If the perimeter of an equilateral triangle is 342 units. Then find its area.

    If the perimeter of an equilateral triangle is 342 units. Then find its area.

    Maths-General
    General
    Maths-

    A star is made up of 4 equilateral triangles and a square. If the sides of the triangles are 8 units, what is the surface area of the star ?

    A star is made up of 4 equilateral triangles and a square. If the sides of the triangles are 8 units, what is the surface area of the star ?

    Maths-General
    parallel
    General
    Maths-

    If the side AC of a given triangle is 18 units and the height of the triangle is 10 units, what is the area of triangle ABC ?

    If the side AC of a given triangle is 18 units and the height of the triangle is 10 units, what is the area of triangle ABC ?

    Maths-General
    General
    Maths-

    A triangle has an area of 90 𝑚2 and a base of 12 m, find the height of such a triangle?

    A triangle has an area of 90 𝑚2 and a base of 12 m, find the height of such a triangle?

    Maths-General
    General
    Maths-

    If the height to base ratio of a triangle ABC is 3:4 and the area is 864 square units. Determine the height and base of this triangle.

    If the height to base ratio of a triangle ABC is 3:4 and the area is 864 square units. Determine the height and base of this triangle.

    Maths-General
    parallel
    General
    Maths-

    If the side of an equilateral triangular park is 20 units. What will be half of its area ?

    If the side of an equilateral triangular park is 20 units. What will be half of its area ?

    Maths-General
    General
    Maths-

    If the base of a triangle becomes three times its height. What is the new area of a triangle?

    If the base of a triangle becomes three times its height. What is the new area of a triangle?

    Maths-General
    General
    Maths-

    The side of an equilateral triangle is 16 units. What will be the double of its area ?

    The side of an equilateral triangle is 16 units. What will be the double of its area ?

    Maths-General
    parallel
    General
    Maths-

    In triangle ABC, AB = 8cm. If the altitudes corresponding to AB and BC are 4 cm and 5 cm respectively. Find the measure of BC.

    In triangle ABC, AB = 8cm. If the altitudes corresponding to AB and BC are 4 cm and 5 cm respectively. Find the measure of BC.

    Maths-General
    General
    Maths-

    The base and corresponding altitude of a parallelogram are 18 cm and 6 cm respectively. Find its area

    The base and corresponding altitude of a parallelogram are 18 cm and 6 cm respectively. Find its area

    Maths-General
    General
    Maths-

    The ratio of the bases of two triangles is a : b. If the ratio of their corresponding altitudes is c : d, find the ratio of their areas (in the same order).

    The ratio of the bases of two triangles is a : b. If the ratio of their corresponding altitudes is c : d, find the ratio of their areas (in the same order).

    Maths-General
    parallel
    General
    Maths-

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

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

    Maths-General
    General
    Maths-

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

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

    Maths-General
    General
    Maths-

    When a solid metal cube is completely submerged in a cylindrical vessel Containing milk with 30 cm diameter the level of milk rises by 1 41 over 99 cm. Find the length of the edge of the metal cube.

    When a solid metal cube is completely submerged in a cylindrical vessel Containing milk with 30 cm diameter the level of milk rises by 1 41 over 99 cm. Find the length of the edge of the metal cube.

    Maths-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.