Examples with solutions for Parts of a Triangle: Median in an isosceles triangle - properties

Exercise #1

ABC is an isosceles triangle.

AD is the median.

What is the size of angle ADC ∢\text{ADC} ?

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Video Solution

Step-by-Step Solution

In an isosceles triangle, the median to the base is also the height to the base.

That is, side AD forms a 90° angle with side BC.

That is, two right triangles are created.

Therefore, angle ADC is equal to 90 degrees.

Answer

90

Exercise #2

AD is the median in triangle ABC.

BD = 4

Find the length of DC.

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Video Solution

Answer

4

Exercise #3

Triangle ABC is isosceles (AB=AC).

AD is the median.

Is it true that BAD=DAC ∢\text{BAD}=∢\text{DAC} ?

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Video Solution

Answer

Yes.

Exercise #4

Look at the triangle below.

AD is the median and crossed the predominant angle.

Is triangle ABC isosceles?

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Video Solution

Answer

Yes.