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I have a Question. If the median of a triangle passes through the opposite side at a 90° angle, then the triangle is equilateral. Is this

statement true always, sometimes or never?

Please Explain and justify your answer. YOU MUST ALSO include a diagram for your response.

THANK YOU FOR THOSE WHO HELPED.

User Rmic
by
4.7k points

1 Answer

7 votes

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Answer:

sometimes true

Explanation:

If the median of a triangle is also an altitude (meets the side at 90°), then the triangle is isosceles. Some isosceles triangles are equilateral; some are not.

The statement that the triangle is equilateral is sometimes true.

User Oren Shalev
by
4.4k points