Maharashtra State BoardSSC (English Medium) 9th Standard
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The length of hypotenuse of a right angled triangle is 15. Find the length of median of its hypotenuse. - Geometry

Sum

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

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Solution

In a right-angled triangle, the length of the median on its hypotenuse is half the length of the hypotenuse. 

Since the length of the hypotenuse =15 unit

We know that, 

∴ Length of Median on its hypotenuse = `1/2xx"the length of the hypotenuse"`

`= 1/2xx15`

`= 7.5  "units"`

Therefore, the length of the median of its hypotenuse is 7.5 units.

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APPEARS IN

Balbharati Mathematics 2 Geometry 9th Standard Maharashtra State Board
Chapter 3 Triangles
Practice Set 3.3 | Q 2 | Page 38
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