Question

MATHEMATICS
52
A
С
3. In Fig. 2.44, ABC and DBC are two triangles on the
same base BC. IPAD intersects BC at 0, show that
ar (ABC) AO
ar (DBC) DO
O
B
4. If the areas of two similar triangles are equal, prove
D
that they are congruent.
Fig. 2.44
5. D, E and F are respectively the mid-points of sides AB, BC and CA of A ABC. Find the
ratio of the areas of A DEF and AABC.
6. Prove that the ratio of the areas of two similar triangles is equal to the square of the ratio
of their corresponding medians.
7. Prove that the area of an equilateral triangle described on one side of a square is equal
to half the area of the equilateral triangle described on one of its diagonals.
Tick the correct answer and justify:
8. ABC and BDE are two equilateral triangles such that D is the mid-point of BC. Ratio of
the areas of triangles ABC and BDE is
(A) 2:1
(B) 1:2
(C) 4:1
(D) 1:4
9. Sides of two similar triangles are in the ratio 4:9. Areas of these triangles are in the ratio
(A) 2:3
(B) 4:9
(C) 81:16
(D) 16:81​

Answer 1

Answer:

The slope of the budget line measures the amount of change in good 2 required per unit of change in good 1 along the budget line. Now, let us derive the slope of the budget line as follows: Take two points on the budget line