Question

prove that the equilateral triangle described on the two sides of a right angle triangle are together equal to the equilateral triangle on the hypotenuse in terms of their area.

Answer 1

Let the length of the perpendicular sides of the right angled triangle be a and b.
let the length of the hypotenuse be c.
the area of the equilateral triangle ABD described on the side AB with length a = √3/4a2

the area of the equilateral triangle BCE described on the side BC with length b = √3/4b2

sum of the areas of equilateral triangles described on the perpendicular sides

=√3/4a2+√3/4b2=√3/4.(a2+b2)=√3/4.c2 [by pythagoras theorem]

= area of the equilateral triangle ACF described on the hypotenuse AC

Answer 2

Answer:here is ur answer

Step-by-step explanation: