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Question
ΔАВС is an isosceles triangle with AB = AC = 13 cm and the length of altitude from A on BC is 5 cm. Then, BC = ?
Options
12 cm
16 cm
18 cm
24 cm
MCQ
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Solution
24 cm
Explanation:
In an isosceles triangle the altitude from the apex A to base BC bisects BC.
So, each half of BC has length
`sqrt(13^2 - 5^2) = sqrt(169 - 25)`
= `sqrt(144)`
= 12
Therefore, BC = 2 × 12 = 24 cm.
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