Mathematics
Grade9
Easy
Question
Find the length of CD of the following figure if AB ll DE.
- 2.5 cm
- 2.7 cm
- 3 cm
- 2.25 cm
Hint:
Prove the similarity of triangles and if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion then find the value of
The correct answer is: 2.7 cm
Given, AB ll DE,
alternate angles are equal so, , and
( vertically opposite angles are equal)By AA similarity, ΔCAB ~ ΔCEDcorresponding sides are in equal proportion for similar triangles.
Therefore, Side length of CD is 2.7 cm.
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