Advertisements
Advertisements
Question
ABCD is a trapezium in which AB || DC. If ar (ΔABD) = 24 cm2 and AB = 8 cm, then height of ΔABC is
Options
3 cm
4 cm
6 cm
8 cm
Advertisements
Solution
Given: (1) ABCD is a trapezium, with parallel sides AB and DC
(2) Area of ΔADB = 24 cm2
(3) AB = 8 cm
To find: Height of ΔABC.
Calculation: We know that ,” two triangles with the same base and between the same parallels are equal in area.”
Here we can see that, ΔADB and ΔACB are on the same base AB.
Hence,
Area of ΔACB = Area of ΔADB
Area of ΔACB = 24
`1/2 (8 xx h) =24 `
`h = (24 xx 2)/8`
h = 6 cm
APPEARS IN
RELATED QUESTIONS
If P is any point in the interior of a parallelogram ABCD, then prove that area of the
triangle APB is less than half the area of parallelogram.
ABCD is a parallelogram in which BC is produced to E such that CE = BC. AE intersects
CD at F.
(i) Prove that ar (ΔADF) = ar (ΔECF)
(ii) If the area of ΔDFB = 3 cm2, find the area of ||gm ABCD.
In the given figure, PQRS is a parallelogram. If X and Y are mid-points of PQ and SRrespectively and diagonal Q is joined. The ratio ar (||gm XQRY) : ar (ΔQSR) =
The diagonal of a rectangular board is 1 m and its length is 96 cm. Find the area of the board.
What will happen to the area of a rectangle, if its length and breadth both are trebled?
In the same way, find the area of piece B.
What is the area of the rectangle? ________ square cm
The King was very happy with carpenters Cheggu and Anar. They had made a very big and beautiful bed for him. So as gifts the king wanted to give some land to Cheggu, and some gold to Anar. Cheggu was happy. He took 100 meters of wire and tried to make different rectangles.
He made a 10 m × 40 m rectangle. Its area was 400 square meters. So he next made a 30 m × 20 m rectangle.
- What other rectangles can he make with 100 meters of wire? Discuss which of these rectangles will have the biggest area.
Karunya bought three fields.
Find the area of all three fields.
- Field (A) ____________ square metre.
- Field (B) ____________ square metre.
- Field (C) ____________ square metre.
Which statement correctly describes how area is determined?
