Advertisements
Advertisements
प्रश्न
Diagonal AC and BD of trapezium ABCD, in which AB || DC, intersect each other at O. The triangle which is equal in area of ΔAOD is
पर्याय
ΔAOB
ΔBOC
ΔDOC
ΔADC
Advertisements
उत्तर
Given: (1) ABCD is a trapezium, with parallel sides AB and DC
(2) Diagonals AC and BD intersect at O
To find: Area of ΔAOD equals to ?
Calculation: We know that ,” two triangles with the same base and between the same parallels are equal in area.”

Therefore,
Area of ΔADB = Area of ΔACB
Area of ΔAOB + Area of ΔAOD = Area of ΔAOB + Area of ΔBOC
Area of ΔAOD = Area of ΔBOC
APPEARS IN
संबंधित प्रश्न
In Q. No 1, if AD = 6 cm, CF = 10 cm, and AE = 8cm, find AB.
If AD is a median of a triangle ABC, then prove that triangles ADB and ADC are equal in
area. If G is the mid-point of median AD, prove that ar (Δ BGC) = 2 ar (Δ AGC).
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.
The median of a triangle divides it into two ______.
In a ΔABC if D and E are mid-points of BC and AD respectively such that ar (ΔAEC) = 4cm2, then ar (ΔBEC) =
In the same way, find the area of piece B.
A magazine charges Rs 300 per 10 sq cm area for advertising. A company decided to order a half page advertisment. If each page of the magazine is 15 cm × 24 cm, what amount will the company has to pay for it?
Find all the possible dimensions (in natural numbers) of a rectangle with a perimeter 36 cm and find their areas.
Is the area of both your footprints the same?
Find the area of the following figure by counting squares:

