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

ABC is a Right triangle

Since BD is the median

and given that AC=10.

Find the length of the side BD.

AAABBBCCCDDD10

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Step-by-step video solution

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00:00 Determine the length of BD
00:03 The following is the size of hypotenuse according to the given data
00:06 BD is the 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 This is the solution

Step-by-step written solution

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1

Understand the problem

ABC is a Right triangle

Since BD is the median

and given that AC=10.

Find the length of the side BD.

AAABBBCCCDDD10

2

Step-by-step solution

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 AC=10

BD=10:2=5 BD=10:2=5

3

Final Answer

5

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Can a triangle have a right angle?

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