Mathematics
Grade9
Easy
Question
In the given figure, DE || BC, and all measurements are in centimeters. The length of AC is
- 5 cm
- 4.5 cm
- 5.25 cm
- 5.5 cm
Hint:
Prove the triangles are similar and if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion.
The correct answer is: 5.25 cm
In ΔABC and ΔADE,
(common)
ADE = ABC (Corresponding angles are equal)
Therefore, By AA similarity
ΔABC ~ ΔADE
Therefore, the length of AC is 5.25 .
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