Question : In $ riangle$ABC, $\angle$A = $\angle$B = 60°, AC = $\sqrt{13}$ cm, the lines AD and BD intersect at D with $\angle$D = 90°. If DB = 2 cm, then the length of AD is:
Option 1: 3 cm
Option 2: 3.5 cm
Option 3: 4 cm
Option 4: 4.7 cm

Question

Question : In $ riangle$ABC, $\angle$A = $\angle$B = 60°, AC = $\sqrt{13}$ cm, the lines AD and BD intersect at D with $\angle$D = 90°. If DB = 2 cm, then the length of AD is:

Option 1: 3 cm

Option 2: 3.5 cm

Option 3: 4 cm

Option 4: 4.7 cm

Team Careers360 · Accepted Answer

Correct Answer: 3 cm

Solution :
$\angle$C = 180° – 60° – 60° = 60°
So, it is an equilateral triangle.
$ herefore$ AB = BC = AC = $\sqrt{13}$ cm
In $ riangle$ADB,
AB² = AD² + DB²
⇒ AD = $\sqrt{(\sqrt{13})^2-2^2}=\sqrt{9}=3$ cm
Hence, the correct answer is 3 cm.

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Question : In △ABC, ∠A = ∠B = 60°, AC = 13 cm, the lines AD and BD intersect at D with ∠D = 90°. If DB = 2 cm, then the length of AD is:Option 1: 3 cmOption 2: 3.5 cmOption 3: 4 cmOption 4: 4.7 cm

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Question : In $△$ ABC, $∠$ A = $∠$ B = 60°, AC = $\sqrt{13}$ cm, the lines AD and BD intersect at D with $∠$ D = 90°. If DB = 2 cm, then the length of AD is:
Option 1: 3 cm
Option 2: 3.5 cm
Option 3: 4 cm
Option 4: 4.7 cm