Advertisements
Advertisements
प्रश्न
An umbrella is made by stitching 10 triangular pieces of cloth of two different colours (see the given figure), each piece measuring 20 cm, 50 cm and 50 cm. How much cloth of each colour is required for the umbrella?
Advertisements
उत्तर
For each triangular piece,
Semi-perimeter,
`s=(20+50+50)/2=60 cm`
By Heron’s formula,
`"Area of triangle "=sqrt(s(s-a)(s-b)(s-c))`
`"Area of each triangle piece "=[sqrt(60(60-50)(60-50)(60-20))]cm^2`
`=[sqrt(60(10)(10)(40))]cm^2`
`=200sqrt6cm^2`
Since there are 5 triangular pieces made of two different coloured cloths,
`"Area of each cloth required "=(5xx200sqrt6)cm^2=1000sqrt6cm^2`
संबंधित 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.
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?
The sides of a quadrilateral, taken in order are 5, 12, 14 and 15 meters respectively, and the angle contained by the first two sides is a right angle. Find its are
Find the area of a rhombus whose perimeter is 80 m and one of whose diagonal is 24 m.
The perimeter of a triangullar field is 144 m and the ratio of the sides is 3 : 4 : 5. Find the area of the field.
If each side of a equilateral triangle is tripled then what is the percentage increase in the area of the triangle?
The sides of a triangular field are 325 m, 300 m and 125 m. Its area is
The sides of a triangle are 11 m, 60 m and 61 m. The altitude to the smallest side is
The sides of a triangle are 11 cm, 15 cm and 16 cm. The altitude to the largest side is
The area of an isosceles triangle having base 2 cm and the length of one of the equal sides 4 cm, is ______.
