Advertisements
Advertisements
Question
The area of an equilateral triangle with side `2sqrt(3)` cm is ______.
Options
5.196 cm2
0.866 cm2
3.496 cm2
1.732 cm2
Advertisements
Solution
The area of an equilateral triangle with side `2sqrt(3)` cm is 5.196 cm2.
Explanation:
Area of an equilateral triangle of side a is given by `sqrt(3)/4 a^2`
Given that `a = 2sqrt(3)`
Area (Δ) = `sqrt(3)/4 a^2`
= `sqrt(3)/4 (2sqrt(3))^2`
= `sqrt(3)/4 xx 12`
= `3sqrt(3)`
= 5.196 cm2
APPEARS IN
RELATED QUESTIONS
Find the area of a quadrilateral ABCD in which AB = 3 cm, BC = 4 cm, CD = 4 cm, DA = 5 cm and AC = 5 cm.
Find the area of a rhombus whose perimeter is 80 m and one of whose diagonal is 24 m.
Find the perimeter and area of the quadrilateral ABCD in which AB = 17 cm, AD =9 cm, CD = l2cm, ∠ACB = 90° and AC=l5cm.
Find the area of an equilateral triangle having each side x cm.
Let Δ be the area of a triangle. Find the area of a triangle whose each side is twice the side of the given triangle.
The lengths of the sides of Δ ABC are consecutive integers. It Δ ABC has the same perimeter as an equilateral triangle with a side of length 9 cm, what is the length of the shortest side of ΔABC?
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
Find the area of a quadrilateral ABCD whose sides are AB = 13 cm, BC = 12 cm, CD = 9 cm, AD = 14 cm and diagonal BD = 15 cm
If the area of an equilateral triangle is `16sqrt(3)` cm2, then the perimeter of the triangle is ______.
The area of an isosceles triangle having base 2 cm and the length of one of the equal sides 4 cm, is ______.
