Question

the perimeter of equilateral triangle is 4 more than the perimeter of square.the diagonal of the square is 14√2 cm.what is the area of equilateral​

Answer 1

Answer:

As we know the length of the diagonal of the square, we can compute the length of a side of the square using the Pythagoras formula:

a2s+a2s=d2

⇒2a2s=(12√2)2

⇒a2s=122

⇒as=12cm

Step-by-step explanation:

Let As be the area of the square, Ps be the perimeter of the square and as be the length of a side of the square. (All sides have equal lengths.)

Let At be the area of the triangle, Pt be the perimeter of the triangle and at be the length of a side of the triangle. (All sides have equal lengths.)