Question : In a right-angled triangle $\triangle$DEF, if the length of the hypotenuse EF is 12 cm, then the length of the median DX is:
Option 1: 3 cm
Option 2: 4 cm
Option 3: 6 cm
Option 4: 12 cm
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Correct Answer: 6 cm
Solution :
As per the given question, we draw a figure of a right-angled triangle DEF.
The median DX splits the right triangle into two isosceles triangles, and the median is half the length of the hypotenuse.
$\therefore$ EF = 12 cm
⇒ DX = XE = XF = $\frac{12}{2}$ = 6 cm
Hence, the correct answer is 6 cm.
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