Prove that the area of semi-circle dream on the hypothenuse of right angled triangle is equal to the sum of the equilateral triangle drawn on the other side of the triangle.
Share
Prove that the area of semi-circle dream on the hypothenuse of right angled triangle is equal to the sum of the equilateral triangle drawn on the other side of the triangle.
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Step-by-step explanation:
Let RST be a right triangle at S and RS = y, ST = x. Three semi-circles are draw on the sides RS, ST and RT, respectively A1, A2 and A3. To prove A3 = A1 + A2 In ∆RST, by Pythagoras theorem, RT2 = RS2 + ST2 = RT2 = y2 + x2 ∴ Area of semi-circle drawn