Advertisements
Advertisements
प्रश्न
D is the mid-point of side BC of ΔABC and E is the mid-point of BD. if O is the mid-point
of AE, prove that ar (ΔBOE) = `1/8` ar (Δ ABC).
Advertisements
उत्तर
Given that
D is the midpoint of side BC of ΔABC .
E is the midpoint of BD and
O is the midpoint of AE
Since AD and AE are the medians of ΔABC and ABD respectively
∴ ar (Δ ABC) = `1/2` AR (ΔABC) ........... (1)
ar (ΔABE) `1/2` ar (ΔABD) ........... (2)
OB is a median of (ΔABE)
∴ ar (ΔBOE) = `1/2` ar (ΔABE)
From 1, (2) and (3) we have
ar (BOE) =`1/8` ar (ΔABC)
APPEARS IN
संबंधित प्रश्न
PQRS is a rectangle inscribed in a quadrant of a circle of radius 13 cm. A is any point on PQ. If PS = 5 cm, then find ar (ΔRAS)
ABC is a triangle in which D is the mid-point of BC. E and F are mid-points of DC and AErespectively. IF area of ΔABC is 16 cm2, find the area of ΔDEF.
ABCD is a parallelogram. P is any point on CD. If ar (ΔDPA) = 15 cm2 and ar (ΔAPC) = 20 cm2, then ar (ΔAPB) =
Length of a rectangle is 30 m and its breadth is 20 m. Find the increase in its area if its length is increased by 10 m and its breadth is doubled.
Parth and Gini bought aam papad (dried mango slice) from a shop. Their pieces looked like these. Both could not make out whose piece was bigger.
- Suggest some ways to find out whose piece is bigger. Discuss
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
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.
Find the area of the following figure by counting squares:
Which statement correctly describes how area is determined?
