In the given figure, ΔABC is an isosceles triangle, in which AB = AC, AD ⊥ BC, BC = 6 cm and AD = 4 cm. The length of AB is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 5 cm.
| Understanding/Application |
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Triangle ABC is an isosceles triangle. AB = AC The perpendicular from A to BC will bisect the side BC. BD = CD = 6/2 = 3 cm |
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From triangle ABD - AD2 + BD2 = AB2 ⇒ 42 + 32 = AB2 ⇒ AB2 = 25 ⇒ AB = 5 cm |