Advertisements
Advertisements
Question
Find the area of an equilateral triangle having each side x cm.
Advertisements
Solution
Area of an equilateral triangle, say A having each side a cm is given by
`A = sqrt(3)/4 a^2`
Area of the given equilateral triangle having each equal side equal to x cm is given by
a = x cm
`A = sqrt(3)/4 (x)^2`
`A= (sqrt(3)x^2)/4 cm^2`
APPEARS IN
RELATED QUESTIONS
A kite in the shape of a square with a diagonal 32 cm and an isosceles triangles of base 8 cm and sides 6 cm each is to be made of three different shades as shown in the given figure. How much paper of each shade has been used in it?

Area of PQRS = Area of PQR + Area of ΔPQS = (6+9.166)𝑐𝑚2=15.166𝑐𝑚2
A park, in the shape of a quadrilateral ABCD, has ∠C = 900, AB = 9 m, BC = 12 m, CD = 5 m and AD = 8 m How much area does it occupy?
The base of an isosceles right triangle is 30 cm. Its area is
The base and hypotenuse of a right triangle are respectively 5 cm and 13 cm long. Its area is ______.
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 park is in the shape of a quadrilateral. The sides of the park are 15 m, 20 m, 26 m and 17 m and the angle between the first two sides is a right angle. Find the area of the park
If the area of an equilateral triangle is `16sqrt(3)` cm2, then the perimeter of the triangle is ______.
The area of the equilateral triangle is `20sqrt(3)` cm2 whose each side is 8 cm.
