Advertisements
Advertisements
प्रश्न
The perimeter of an equilateral triangle is 30 cm. The area is
पर्याय
`10sqrt(3) "cm"^2`
`12sqrt(3) "cm"^2`
`15sqrt(3) "cm"^2`
`25sqrt(3) "cm"^2`
Advertisements
उत्तर
`25sqrt(3) "cm"^2`
Explanation;
Hint:
Perimeter of an equilateral triangle = 30 cm
3a = 30 cm
a = `30/3`
= 10 cm
Area of an equilateral triangle = `sqrt(3)/4 "a"^2 "sq.units"`
= `sqrt(3)/4 xx 10 xx 10`
= `25sqrt(3) "cm"^2`
APPEARS IN
संबंधित प्रश्न
An isosceles triangle has perimeter 30 cm and each of the equal sides is 12 cm. Find the area of the triangle.
The lengths of the sides of a triangle are in the ratio 3 : 4 : 5 and its perimeter is 144 cm. Find the area of the triangle and the height corresponding to the longest side.
The perimeter of an isosceles triangle is 42 cm and its baše is (32) times each of the equal sides. Find the length of each side of the triangle, area of the triangle and the height of the triangle.
A triangular shaped glass with vertices at A(– 5, – 4), B(1, 6) and C(7, – 4) has to be painted. If one bucket of paint covers 6 square feet, how many buckets of paint will be required to paint the whole glass, if only one coat of paint is applied
The area of a triangle is 5 sq. units. Two of its vertices are (2, 1) and (3, −2). The third vertex is (x, y) where y = x + 3. Find the coordinates of the third vertex.
Using Heron’s formula, find the area of a triangle whose sides are 10 cm, 24 cm, 26 cm
An isosceles right triangle has area 8 cm2. The length of its hypotenuse is ______.
The perimeter of an isosceles triangle is 32 cm. The ratio of the equal side to its base is 3 : 2. Find the area of the triangle.
Find the area of a parallelogram given in figure. Also find the length of the altitude from vertex A on the side DC.
The perimeter of a triangular field is 420 m and its sides are in the ratio 6 : 7 : 8. Find the area of the triangular field.
