Advertisements
Advertisements
प्रश्न
The area of the isosceles triangle is `5/4 sqrt(11)` cm2, if the perimeter is 11 cm and the base is 5 cm.
विकल्प
True
False
Advertisements
उत्तर
This statement is True.
Explanation:
Suppose that side of isosceles triangle be a.
Now, perimeter of an isosceles triangle:
2s = 5 + a + a ...[2s = a + b + c]
11 = 5 + 2a
2a = 11 – 5
2a = 6
a = 3
Now, the formula of an area of isosceles triangle = `a/4 sqrt(4b^2 - a^2)`
So, area of an isosceles triangle = `(5sqrt(4 xx (3)^2 - (5)^2))/4`
= `(5sqrt(4 xx 9 - 25))/4`
= `5 xx sqrt(36 - 25)/4`
= `(5sqrt(11))/4` cm2
APPEARS IN
संबंधित प्रश्न
Find the area of a triangle two sides of which are 18 cm and 10 cm and the perimeter is 42 cm.
The perimeter of a triangle is 300 m. If its sides are in the ratio 3 : 5 : 7. Find the area of the triangle ?
A triangle has sides 35 cm, 54 cm and 61 cm long. Find its area. Also, find the smallest of its altitudes ?
The perimeter of an isosceles triangle is 42 cm and its baše is (32) times each of the equal sides. Find the length of each side of the triangle, area of the triangle and the height of the triangle.
The adjacent sides of a parallelogram ABCD measure 34 cm and 20 cm, and the diagonal AC measures 42 cm. Find the area of the parallelogram.
A man walks near a wall, such that the distance between him and the wall is 10 units. Consider the wall to be the Y-axis. The path travelled by the man is
The area of a triangle is 5 sq. units. Two of its vertices are (2, 1) and (3, −2). The third vertex is (x, y) where y = x + 3. Find the coordinates of the third vertex.
The perimeter of a triangular plot is 600 m. If the sides are in the ratio 5 : 12 : 13, then find the area of the plot
An isosceles right triangle has area 8 cm2. The length of its hypotenuse is ______.
A rhombus shaped sheet with perimeter 40 cm and one diagonal 12 cm, is painted on both sides at the rate of Rs 5 per m2. Find the cost of painting.
