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Question
In the given figure ΔABC is shown. DE is parallel to BC. If AD = 5 cm, DB = 2.5 cm and BC = 12 cm, then DE is equal to ______.
Options
10 cm
6 cm
8 cm
7.5 cm
MCQ
Fill in the Blanks
Solution
In the given figure MBC is shown. DE is parallel to BC. If AD = 5 cm, DB = 2.5 cm and BC = 12 cm, then DE is equal to 8 cm.
Explanation:
Given
AD = 5 cm, DB = 2.5 cm, BC = 12 cm
DE || BC
ΔABC ~ ΔADE
`(AD)/(AB) = (DE)/(BC)`
⇒ `5/7.5 = (DE)/(12)`
⇒ `50/75 = (DE)/(12)`
⇒ `2/3 = (DE)/(12)`
∴ DE = 8 cm
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