Maths-
General
Easy

Question

Calculate the area and height of equilateral triangle whose perimeter is 48 cm

Hint:

Find side of the triangle using perimeter

The correct answer is: 13.86 cm


    Let side of the triangle be a
    It is given that perimeter of an equilateral triangle = 48
    ⇒ 3a = 48
    ⇒ a = 16 cm
    Area of an equilateral triangle = fraction numerator square root of 3 over denominator 4 end fraction (side)2
    = fraction numerator square root of 3 over denominator 4 end fraction (16)2  = 64 cm2
    (Substituting the value of square root of 3 = 1.73, in the above equation)
    = 110.85 cm2
    Area of triangle equals 1 half cross times b cross times straight h
    64 square root of 3 equals 1 half cross times 16 cross times h
    8 square root of 3 equals h
    So, height of the triangle = 8 square root of 3 = 13.86 cm

    Related Questions to study

    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.