In a right-angled triangle ABC, the hypotenuse AC is of length 13 cm. A line drawn connecting the midpoints D and E of sides AB and AC is found to be 6 cm in length. The length of BC is
Question and options
In a right-angled triangle ABC, the hypotenuse AC is of length 13 cm. A line drawn connecting the midpoints D and E of sides AB and AC is found to be 6 cm in length. The length of BC is
- cm
- cm
- cm
- cm
Answer and explanation
Correct answer: A - \(12\) cm
By the midpoint theorem DE = BC/2, so BC = 12 cm (consistent: AB=5, 5-12-13 triangle).
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IPMAT Indore
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