Advertisements
Advertisements
प्रश्न
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 an equilateral triangle
उत्तर
Let the side of a square = x cm
Its area = 16cm2
⇒ x2 = 16
⇒ x = 4cm
Clearly, the length of the wire
= Perimeter of a square
= 4 x 4
= 16cm2
Let the side of an equilateral triangle = a cm
Now, the perimeter of an equilateral triangle
= length of the wire
⇒ 3a = 16
⇒ a = `(16)/(3)"cm"`
∴ Area of an equilateral triangle
= `sqrt(3)/(4) xx "a"^2`
= `sqrt(3)/(4) xx (16)/(3) xx (16)/(3)`
= `(64sqrt(3))/(9)"cm"^2`.
APPEARS IN
संबंधित प्रश्न
Find the area of an isosceles triangle ABC in which AB = AC = 6 cm, ∠A = 90°. Also, find the length of perpendicular from A to BC.
Find the area of an equilateral triangle of side 20 cm.
Find the perimeter of an equilateral triangle whose area is `16sqrt(3)"cm"`.
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 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 72cm and the base is 20cm.
Each equal side of an isosceles triangle is 3cm less than the unequal side. The height of the perpendicular from the vertex to the unequal side is 3cm less than the equal side. If the area of the isosceles triangle is 108cm2, find the perimeter of the triangle.
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
If in an isosceles triangle, each of the base angles is 40°, then the triangle is ______.
In an isosceles triangle, angles opposite to equal sides are ______.
