Question

11. A ABC is an equilateral triangle. P, Q and R are mid-points of the sides AB, BC and CA respectively. Prove that ∆PQR is also equilateral.​

Answer 1

Step-by-step explanation:

Let DEF be the midpoints of sides of a triangle ABC( with D on BC, E on AB and F on AC ). Now, considering triangles AEF and ABC, angles EAF = BAC and AE / AB = 1/2 and AF/AC = 1/2. ... The triangle formed by joining the mid-points of the equilateral triangle is also an equilateral triangle.

here consider a triangle abc with midpoints def ....

Answer 2

See the picture carefilly U will understand everything