If the line segment joining the points (0, 0) | vedclass

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(C) In a right-angled triangle,the length of the median to the hypotenuse is equal to half the length of the hypotenuse.First,calculate the length of

Vedclass · Accepted Answer

$2.5$

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(C) In a right-angled triangle,the length of the median to the hypotenuse is equal to half the length of the hypotenuse.First,calculate the length of the hypotenuse using the distance formula between $(0, 0)$ and $(3, 4)$:$L = \sqrt{(3 - 0)^2 + (4 - 0)^2} = \sqrt{3^2 + 4^2} = \sqrt{9 + 16} = \sqrt{25} = 5$.The length of the median to the hypotenuse is half of the hypotenuse length:$	ext{Median} = \frac{1}{2} 	imes 5 = 2.5$.

If the line segment joining the points $(0, 0)$ and $(3, 4)$ is the hypotenuse of a right-angled triangle,what is the length of the median to the hypotenuse?

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