Examples with solutions for Parts of a Triangle: Using the theorem: The median of a triangle divides it into two triangles of the same area

Exercise #1

In front of you the next triangle:

Since AD is the median

Since the area of the triangle ADB is equal to 15.

Find the area of the triangle ABC.

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Video Solution

Answer

30

Exercise #2

In front of you the next triangle:

Since AD is the median

Since the area of the triangle ABC is equal to 32.

Find the area of the triangle ADC.

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Video Solution

Answer

16

Exercise #3

Look at the triangle below.

AD is the median and height.

Calculate the area of triangle ABC.

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Video Solution

Answer

60