Finding the Median Length BD in a Right Triangle with AC = 10

Question

ABC is a Right triangle

Since BD is the median

and given that AC=10.

Find the length of the side BD.

00:00 Find the length of BD

00:03 Size of hypotenuse according to the given data

00:06 BD is median according to the given data

00:10 The triangle is right-angled according to the given data

00:16 The median to the hypotenuse in a right triangle equals half the hypotenuse

00:24 And this is the solution to the question

We can calculate BD according to the following rule:

In a right triangle, the midpoint of the hypotenuse is equal to half of the hypotenuse.

That is:

BD is equal to half of AC:

Given that: $AC=10$

$BD=10:2=5$