Question

ABC and ADC are two equilateral Triangles on a common base AC find the angles of the resulting Collateral so that it is a rhombus

Answer 1

Answer:

Step-by-step explanation:

∴ ∆s ABC and ADC are equilateral

∴ AB = BC = CD = AD = AC

∴∠B = ∠D = 60°

Now, ∠A = ∠BAC + ∠CAD = 60° + 60° = 120°

∴ ∠C = ∠ACB + ∠ACD = 60° + 60° = 120°

∴ All of its side are equal. Therefore it is a rhombus