Question

prove that the area of an equilateral triangle described

Answer 1

Here is your answer :-

Answer 2

Answer:

Hence proven

Step-by-step explanation:

Let a be side of square

Then diagonal of square=roo2*a

Area of equilateral triangle=root3 *a2/4

Area =k* a2 where K=root3/4

Hence area of equilateral triangle on square side a=k*a2

Hence Area of equilateral triangle on square diagonal root 2*a=k* root2*xroot2*a =K*2 *a2 =2k*a2

Area of equilateral triangle on square side-k*a2

Area of equilateral which has square diagonal as side will be 2k*a2

Hence Area of Equilateral triangle ha ving side as square side is 1/2 that of area of equilateral triangle having square as its side