Question

Prove that the sum of the areas of the blue and red
crescents in the second picture is equal to the area of
A triangle is drawn by joining a point on a semicir-
cle to the ends of the diameter. Then semicircles are
drawn with the other two sides as diameter.
the triangle.​

Answer 1

Answer:

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Answer 2

Answer:

Let ABC be a right triangle, right angled at B and AB = y, BC = x.

Three semi-circles are drawn on the sides AB, BC and AC, respectively with diameters AB, BC and AC, respectively.

Again, let area of circles with diameters AB, BC and AC are respectively A1, A2 and A3.