Advertisements
Advertisements
प्रश्न
Find the area of an isosceles triangle whose perimeter is 50cm and the base is 24cm.
Advertisements
उत्तर
The sum of the equal sides of the given Isosceles triangle
= 50 - 24
= 26
So, each the equal sides of the given Isosceles triangle =
`(1)/(2)(26)`
= 13cm
We know that, Area of a Triangle whose sides are a, b, and c and semiperimeter is s is given by `sqrt("s"("s" - "a")("s" - "b")("s" - "c")); "s" = ("a" + "b" + "c")/(2)`
Here, sides are 13cm, 13cm and 24cm
s = `"P"/(2)`
= `(50)/(2)`
= 25
Area
= `sqrt(25(25 - 13)(25 - 13)(25 - 24)`
= `sqrt(25(12)(12)(1)`
= 5 x 12
= 60cm2.
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 perimeter of an equilateral triangle whose area is `16sqrt(3)"cm"`.
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 72cm and the base 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 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.
Each of the equal sides of an isosceles triangle is 4 cm greater than its height. If the base of the triangle is 24 cm; calculate the perimeter and the area of the triangle.
In an isosceles triangle, two angles are always ______.
In an isosceles triangle, angles opposite to equal sides are ______.
