Advertisements
Advertisements
प्रश्न
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.
Advertisements
उत्तर
Draw DN ⊥ AB and PM ⊥ AB.
Now,
`Area (ΙΙ^(gm) ABCD) = AB xx DN , ar (ΔAPB ) = 1/2 (AB xx PM)`
Now , PM < DN
⇒ `AB xx PM < AB xx DN`
⇒ ` 1/2 (AB xx PM) < 1/2 (AB xx DN)`
⇒ `Area ( ΔAPB ) <1/2 ar ( Parragram ABCD)`
APPEARS IN
संबंधित प्रश्न
In the below fig. ∠AOB = 90°, AC = BC, OA = 12 cm and OC = 6.5 cm. Find the area of
ΔAOB.
A triangle and a parallelogram are on the same base and between the same parallels. The ratio of the areas of triangle and parallelogram is
ABCD is a trapezium with parallel sides AB =a and DC = b. If E and F are mid-points of non-parallel sides AD and BC respectively, then the ratio of areas of quadrilaterals ABFEand EFCD is
The side of a square is 3.6 cm; find its area.
The side of a square field is 16 m. What will be increase in its area, if each of its sides is doubled?
By counting squares, estimate the area of the figure.
So the area of piece A = ________ square cm
If each square on this page is equal to 1 square meter of land, how much land will each of her children get? ________ square m
Find the area of the following figure by counting squares:
If a figure contains only 8 fully-filled squares and no partial squares, what is its area?
