Question

7. Take an equilateral triangle and draw its medians and altitudes and check that the
medians and altitudes are same.​

Answer 1

Answer:

ΔABC is an equilateral triangle.AD, BE and CF are altitudes of the triangle. The altitudes of an equilateral triangle divide the sides into two equal parts. So, altitudes are also the medians of the triangle.

Answer 2

Consider the equilateral triangle ΔPQR,

PS, QN and MR are altitudes of the triangle.

The altitudes of an equilateral triangle divide the sides into equal parts.

Hence, altitudes are also the medians of the triangle.

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