Question : In a triangle ABC, $\angle$BAC = 90°. If BC = 25 cm, then what is the length of the median AD?
Option 1: 10 cm
Option 2: 12.5 cm
Option 3: 14.5 cm
Option 4: 24 cm
Correct Answer: 12.5 cm
Solution :
Given:
$\Delta ABC$ is a right triangle and BC is the hypotenuse.
BC = 25 cm
we know that
$\text{Median of right triangle} =\ \frac{\text{Hypotenuse}}{2}$
$=\ \frac{BC}{2}$
$=\ \frac{25}{2}$
$=\ 12.5$ cm
Hence the length of the median is 12.5 cm.
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