(i) In this question we have been asked to prove that from the given figure two triangles are similar
(ii) In the given question we are asked to calculate the length of sides of triangle
ML Aggarwal Avichal Publication, Similarity, question no 8(b)
Rajan@2021Guru
In the figure (2) given below, CA∥BD, the lines AB and CD meet at G. (i) Prove that △ACO∼△BDO. (ii) If BD=2.4 cm,OD=4 cm,OB=3.2 cm and AC=3.6 cm, calculate OA and OC.
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(i) We have to prove that, △ACO∼△BDO.
So, from the figure
Consider △ACO and △BDO
Then,
∠AOC=∠BOD [from vertically opposite angles]
∠A=∠B
Therefore, △ACO=△BDO
Given, BD=2.4 cm,OD=4 cm,OB=3.2 cm,AC=3.6 cm,
△ACO∼△BOD
So, AO/OB=CO/OD=AC/BD
Consider AC/BD=AO/OB
3.6/2.4=AO/3.2
O=(3.6×3.2)/2.4
AO=4.8cm
Now, consider AC/BD=CO/OD
3.6/2.4=CO/4
CO=(3.6×4)/2.4
CO=6cm.