Advertisements
Advertisements
प्रश्न
Find the area of an equilateral triangle whose perimeter is 180 cm
Advertisements
उत्तर
Perimeter of an equilateral triangle = 180 cm
3a = 180
a = `180/3`
= 60 m
Area of an equilateral triangle
= `sqrt(3)/4 "a"^2 "sq.unit"`
= `sqrt(3)/4 xx 60 xx 60 "sq.m"`
= `sqrt(3) xx 15 xx 60 "sq.m"`
= 1.732 × 15 × 60 sq.m
= 1558.8 sq.m
Area of an equilateral triangle = 1558.8 sq.m
APPEARS IN
संबंधित प्रश्न
Find the area of the shaded region in the given figure.
The adjacent sides of a parallelogram ABCD measure 34 cm and 20 cm, and the diagonal AC measures 42 cm. Find the area of the parallelogram.
Find the area of a triangle whose base and altitude are 5 cm and 4 cm respectively.
Find the area of a triangle whose sides are 3 cm, 4 cm and 5 cm respectively.
If the points A(– 3, 9), B(a, b) and C(4, – 5) are collinear and if a + b = 1, then find a and b
The sides of the triangular ground are 22 m, 120 m and 122 m. Find the area and cost of levelling the ground at the rate of ₹ 20 per m2
The triangular side walls of a flyover have been used for advertisements. The sides of the walls are 13 m, 14 m and 15 m. The advertisements yield an earning of Rs 2000 per m2 a year. A company hired one of its walls for 6 months. How much rent did it pay?
A field in the form of a parallelogram has sides 60 m and 40 m and one of its diagonals is 80 m long. Find the area of the parallelogram.
The sides of a quadrilateral ABCD are 6 cm, 8 cm, 12 cm and 14 cm (taken in order) respectively, and the angle between the first two sides is a right angle. Find its area.
A design is made on a rectangular tile of dimensions 50 cm × 70 cm as shown in the following figure. The design shows 8 triangles, each of sides 26 cm, 17 cm and 25 cm. Find the total area of the design and the remaining area of the tile.
