Prove that the area of the equilateral triangle drawn on the hypotenuse of a right angled triangle is equal to the sum of the areas of the equilateral triangles drawn on the other two sides of the triangle.
Answers
Answered by
47
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.
____________________________
Hope this will help you....
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.
____________________________
Hope this will help you....
Attachments:
Answered by
1
Step-by-step explanation:
Hope it will helps you....
Attachments:
Similar questions