Question

काटकोन त्रिकोणात कर्णाची लांबी 15 सेमी असेल तर कर्णावर काढलेल्या मध्यगेची लांबी काढ.​

Answer 1

Given:

काटकोन त्रिकोणात कर्णाची लांबी 15 सेमी असेल तर कर्णावर काढलेल्या मध्यगेची लांबी काढ.​

The length of the hypotenuse of a right-angled triangle is 15. Find the length of the median of the hypotenuse.

To find:

कर्णावर काढलेल्या मध्यगेची लांबी काढ.​

The length of the median of the hypotenuse.

Solution:

The length of the hypotenuse of the given rt-angled triangle = 15 cm

We know that,

A median of a right-angled triangle is a line drawn from the vertex opposite to the hypotenuse of the right-angled triangle to the midpoint of the hypotenuse i.e.,

$\boxed{\bold{Median = \frac{1}{2}\times length \:of\:the\:hypotenuse}}$

Therefore, based on the above property, we get

The length of the median is,

= $\frac{1}{2} \times 15$

= $\bold{7.5\:cm}$

Thus, the length of the median of the hypotenuse is → 7.5 cm.

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Also View:

The medians of a right triangle which are drawn from the vertices of the acute angles are 5 cm and 2√10 cm. Then its hypotenuse is?

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Prove that in a right-angled triangle the median bisecting the hypotenuse is half of it.

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