Question

Case Study:
Ashok wanted to divide his rectangular field to grow flowering plants for his flower business. He
wanted to divide the field into four triangular parts as given in the figure below.
In the field ABCD, E and 0 are the mid points of AB and BD respectively.
Given AB = 400m and AD = 480 m.

(a)Find the length of the side DE of ∆ADE.
(i) 520m
(ii) 670m
(iii)650m
(iv) 580m

(b) Find the area of the ∆ADE.
(1) 34000 sq.m
(ii) 43000 sq.m
(iii)48000 sq.m
(iv) 36000 sq.m

(c) What is the ratio of the area of ∆ADE to area of ∆BOC.
(i) 1:4
(ii) 1:1
(iii)4:1
(iv) 2:1

(d) Check whether ∆BAD ~ ∆BCD and ∆BAD~=∆BCD.
(i) Not similar
(ii) Congruent
(iii)Similar
(iv) Similar and congruent

(e)What is the ratio of the length of OC to the length of BD.
(1) 1:1
(ii) 1:3
(iii)3:1
(iv) 1:2​

Answer 1

Answer:

Find the length of the side DE of ∆ADE.

(i) 520m

b) Find the area of the ∆ADE.

(iii)48000 sq.m

(d) Check whether ∆BAD ~ ∆BCD and ∆BAD~=∆BCD.

(iv) Similar and congruent

(e)What is the ratio of the length of OC to the length of BD.

(iv) 1:2