Advertisements
Advertisements
Question
The area of an equilateral triangle is (`64xxsqrt3`) cm2. Find the length of each side of the triangle.
Advertisements
Solution
Area of equilateral triangle = `64sqrt3` cm2
Let each side = a
Then, `sqrt3/4"a"^2=64sqrt3`
a2 =`(64sqrt3xx4)/sqrt3=256`
a = (16)2
∴ a = 16 cm
∴ Each side = 16 cm
APPEARS IN
RELATED QUESTIONS
In the figure given below, find the area of shaded region: (All measurements are in cm)
The base of a parallelogram is thrice it height. If its area is 768 cm2, find the base and the height of the parallelogram.
Find the area of the rhombus, if its diagonals are 30 cm and 24 cm.
The adjacent sides of a parallelogram are 15 cm and 10 cm. If the distance between the longer sides is 6 cm, find the distance between the shorter sides.
The area of a rhombus is 84 cm2 and its perimeter is 56 cm. Find its height.
The sides of a triangle are in the ratio 15 : 13 : 14 and its perimeter is 168 cm. Find the area of the triangle.
The ratio between the radius of two circles is 5 : 7. Find the ratio between their:
(i) circumference
(ii) areas
The diameter of every wheel of a car is 63 cm. How much distance will the car move during the 2000 revolutions of its wheel.
A metal wire, when bent in the form of a square of largest area, encloses an area of 484 cm2. Find the length of the wire. If the same wire is bent to the largest circle, find:
(i) radius of the circle formed.
(ii) area of the circle.
The length and breadth of a rectangular paper are 35 cm and 22 cm. Find the area of the largest circle which can be cut out of this paper.
