Question

Prove that all altitudes of an equilateral triangle are equal.​

Answer 1

Step-by-step explanation:

If two angles of one triangle are respectively equal to two angles of another triangle, then the two triangles are similar. In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. Altitude of equilateral triangle IS SQRT(3)*(SIDE)

Answer 2

given.

Given BE is altitude

so .(AEB=(CEB=90°

Also.Cf is a altitude

so! [AFC=BFC=90°

Also; BE CF

to prove triangle ABC is isoceles

proof: