Advertisements
Advertisements
Question
Find the perimeter of an equilateral triangle whose area is `16sqrt(3)"cm"`.
Solution
We know that, Area of an equilateral triangle(A) of side a is
A = `sqrt(3)/(4)"a"^2`
Here, A = `16sqrt(3)`
⇒ `16sqrt(3) = (sqrt(3))/(4)"a"^2`
⇒ 16 = `"a"^2/(4)`
⇒ 4 x 16 = a2
⇒ a
= 2 x 4
= 8
i.e. side of the equilateral triangle is 8cm
The perimeter of an equilateral triangle of side a = 3a
⇒ The Perimeter of an equilateral triangle of side 8cm
= 3 x 8
= 24cm.
APPEARS IN
RELATED QUESTIONS
The base of an isosceles triangle is 24 cm and its area is 192 sq. cm. Find its perimeter.
The area of an equilateral triangle is numerically equal to its perimeter. Find the length of its sides, correct two decimal places.
In a right-angled triangle PQR right-angled at Q, QR = x cm, PQ = (x + 7) cm and area = 30 cm2. Find the sides of the triangle.
In a right-angled triangle ABC, if ∠B = 90°, AB - BC = 2 cm; AC - BC = 4 and its perimeter is 24 cm, find the area of the triangle.
Find the area of an isosceles triangle whose perimeter is 50cm and the base is 24cm.
A wire when bent in the form of a square encloses an area of 16 cm2. Find the area enclosed by it when the same wire is bent in the form of a rectangle whose sides are in the ratio of 1 : 3
A chessboard contains 64 equal square and the area of each square is 6.25cm2. A 2cm wide border is left inside of the board. Find the length of the side of the chessboard.
The cross-section of a canal is a trapezium in shape. If the canal is 10m wide at the top, 6m wide at the bottom and the area of cross-section is 72 sq.m, determine its depth.
In an isosceles triangle, angles opposite to equal sides are ______.
Two line segments are congruent, if they are of ______ lengths.
