Question : In $\triangle$ABC, $\angle$A = 90°, AD$\perp$BC and AD = BD = 2 cm. The length of CD is:
Option 1: 3 cm
Option 2: 3.5 cm
Option 3: 3.2 cm
Option 4: 2 cm
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Correct Answer: 2 cm
Solution :
Given:
AD = BD = 2 cm
$\angle$A = 90°
AD is perpendicular to BC.
In $\triangle$ABC right angled at A, a perpendicular AD is drawn at BC then AD
2
= BD × CD
∴ 2
2
= 2 × CD
⇒ CD = 2 cm
Hence, the correct answer is 2 cm.
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