'x' and 'y' are two adjacent side of the right angle of a right angled triangle and 'a' is the perpendicular draw to the hypotenuse from the opposite vertex. Then a2 is equal to?
Answer & explanation
Correct answer: option 1
Area of triangle,
\(\frac{1}{2}×x×y\)=\(\frac{1}{2}×a×\sqrt {x^2+y^2}\)
squaring both side
x2y2 = a2(x2 + y2)
\(a^2 =\frac{x^2y^2}{x^2+y^2}\)