Advertisements
Advertisements
प्रश्न
The area of an equilateral triangle is numerically equal to its perimeter. Find the length of its sides, correct two decimal places.
उत्तर
Let each side of an equilateral triangle measures a cm.
Then, we have
`sqrt(3)/(4) xx "a"^2` = a + a + a
⇒ `sqrt(3)/(4) xx "a"^2` = 3a
⇒ `"a"^2/"a" = (4)/sqrt(3) xx 3`
⇒ a = `4sqrt(3)`
⇒ a = 4 x 1.732
⇒ a = 6.928
⇒ a = 6.93 units.
APPEARS IN
संबंधित प्रश्न
The base of an isosceles triangle is 24 cm and its area is 192 sq. cm. Find its perimeter.
Find the area of an equilateral triangle having perimeter of 18cm.
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.
Find the base of an isosceles triangle whose area is 192cm2 and the length of one of the equal sides is 20cm.
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
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.
If in an isosceles triangle, each of the base angles is 40°, then the triangle is ______.
In an isosceles triangle, two angles are always ______.
Two line segments are congruent, if they are of ______ lengths.
