Advertisements
Advertisements
प्रश्न
A triangle and a parallelogram have the same base and the same area. If the sides of triangle are 26 cm, 28 cm and 30 cm, and the parallelogram stands on the base 28 cm, find the height of the parallelogram.
उत्तर
For triangle
Perimeter of triangle = (26 + 28 + 30) cm = 84 cm
2s = 84 cm
s = 42 cm
By Heron’s formula,
`"Area of triangle "=sqrt(s(s-a)(s-b)(s-c))`
`"Area of triangle "=[sqrt(42(42-26)(42-28)(42-30))]cm^2`
`=[sqrt(42(16)(14)(12))]cm^2`
= 336 cm2
Let the height of the parallelogram be h.
Area of parallelogram = Area of triangle
h × 28 cm = 336 cm2
h = 12 cm
Therefore, the height of the parallelogram is 12 cm.
APPEARS IN
संबंधित प्रश्न
Radha made a picture of an aeroplane with coloured papers as shown in the given figure. Find the total area of the paper used.
A rhombus shaped field has green grass for 18 cows to graze. If each side of the rhombus is 30 m and its longer diagonal is 48 m, how much area of grass field will each cow be getting?
Two parallel side of a trapezium are 60 cm and 77 cm and other sides are 25 cm and 26 cm. Find the area of the trapezium.
The sides of a triangle are 7 cm, 9 cm and 14 cm. Its area is
If the area of an isosceles right triangle is 8 cm2, what is the perimeter of the triangle?
In the given figure, the ratio AD to DC is 3 to 2. If the area of Δ ABC is 40 cm2, what is the area of Δ BDC?
A park is in the shape of a quadrilateral. The sides of the park are 15 m, 20 m, 26 m and 17 m and the angle between the first two sides is a right angle. Find the area of the park
The area of a regular hexagon of side ‘a’ is the sum of the areas of the five equilateral triangles with side a.
In a triangle, the sides are given as 11 cm, 12 cm and 13 cm. The length of the altitude is 10.25 cm corresponding to the side having length 12 cm.
