# 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.

#### 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