n the side of a right angled triangle. Show that the area of triQ24. E

1.	n the side of a right angled triangle. Show that the area of triQ24. Equilateral triangles are drawn on the sidetriangle on the hypotenuse is equal to the sumsum ofc areas of triangles on the other two sides.
Answer» Given:ABCis a right ∆. Angle ABC= 90°.AC is hypotenuse. Equilateral triangles PAB, QBC,RCA are drawn on the sides AB, BC, CA. To Prove:ar(∆PAB)+ar(∆QBC)= ar(∆RCA) Proof & figure is in the attachment.

n the side of a right angled triangle. Show that the area of triQ24. Equilateral triangles are drawn on the sidetriangle on the hypotenuse is equal to the sumsum ofc areas of triangles on the other two sides.

Answer»

Given:ABCis a right ∆. Angle ABC= 90°.AC is hypotenuse. Equilateral triangles PAB, QBC,RCA are drawn on the sides AB, BC, CA.

To Prove:ar(∆PAB)+ar(∆QBC)= ar(∆RCA)

Proof & figure is in the attachment.