Question

equilateral triangles are drawn on the three sides of right angled triangle. show that the area of triangle on the hypotenuse is equal to the sum of areas of triangles on other two sides

Answer 1

Step-by-step explanation:

In equilateral triangle all angles are 60^0

Let sides of right angle triangle be A,B and C

And side of eqilateral triangle be a,b and c

All three equilateral triangles are similar.

Area of similar triangle is equal to ratio of squares of their side.

Therefore,a^2+b^2=c^2.