Advertisements
Advertisements
प्रश्न
The area of a trapezium with equal non-parallel sides is 168 m2. If the lengths of the parallel sides are 36 m and 20 m, find the length of the non-parallel sides.
उत्तर
Length of the parallel sides are 36 m and 20 m.
Area of a trapezium = 168 m2
∵ Area of a trapezium = `1/2 xx ["Sum af parallel sides"] xx "Height"`
∴ `168 = 1/2 xx [36 + 20] xx "Height"`
⇒ Height = `(168 xx 2)/56 = 336/56` = 6 m
In ΔACB, using Pythagoras theorem,
(AB)2 = (BC)2 + (AC)2
⇒ (AB)2 = (8)2 + (6)2
⇒ (AB)2 = 64 + 36
⇒ (AB)2 = 100
∴ AB = `sqrt(100)` = 10 m
Hence, length of the non-parallel side is 10 m.
APPEARS IN
संबंधित प्रश्न
The shape of the top surface of a table is a trapezium. Find its area if its parallel sides are 1 m and 1.2 m and perpendicular distance between them is 0.8 m.
Find the area of trapezium with base 15 cm and height 8 cm, if the side parallel to the given base is 9 cm long.
Find the area of a trapezium whose parallel sides of lengths 10 cm and 15 cm are at a distance of 6 cm from each other. Calculate this area as the difference of the area of a rectangle and the sum of the areas of two triangles.
The area of a trapezium is 960 cm2. If the parallel sides are 34 cm and 46 cm, find the distance between them.
Mohan wants to buy a trapezium shaped field. Its side along the river is parallel and twice the side along the road. If the area of this field is 10500 m2 and the perpendicular distance between the two parallel sides is 100 m, find the length of the side along the river.
The parallel sides of a trapezium are 25 cm and 13 cm; its nonparallel sides are equal, each being 10 cm, find the area of the trapezium.
Find the missing values.
| Height 'h' | Parallel side 'a` | Parallel side 'b` | Area |
| 13 cm | 28 cm | 492 sq.cm |
Find the missing values.
| Height 'h' | Parallel side 'a` | Parallel side 'b` | Area |
| 16 cm | 15 cm | 360 sq.cm |
The area of a trapezium is 180 sq.cm and its height is 9 cm. If one of the parallel sides is longer than the other by 6 cm. Find the length of the parallel sides.
A trapezium with 3 equal sides and one side double the equal side can be divided into ______ equilateral triangles of ______ area.
