If all the three altitudes of a triangle are equal.

If all the three altitudes of a triangle are equal, then prove that it is an equilateral triangle.

Solution:

More Solutions:

• Write all the corresponding congruent parts of the triangles.
• The lengths of the sides of the triangles are indicated.
• If, AB = 5 cm, AC = 5 cm, BD = 2.5 cm and CD = 2.5 cm
• In the given figure, AB = AC and D is the mid-point.
• The measures of some parts of the triangles are indicated.
• You want to show that ΔART = ΔPEN