Question

Find the length of the hypotenuse of a right triangle with the formula Y =6 m and area = 36 m^2

Answer 1

`leg : \ y =6 \m , \ \ leg : \ y =? \ \ hypotenuse : c = ?\ \ P = 36 \ m^2 \\ \\P=(1)/(2)xy\\ \\36=(1)/(\\ot2^1)*x*\\ot6^3\\ \\3x=36 \ \ /:3\\ \\x=12 \ m`




`hypotenuse : \\ \\ c^2=x^2+y^2\\ \\c^2=12^2+6^2 \\ \\c^2 = 144+36 \\ \\c^2=180 \\ \\c=√(180)\\ \\c=√(36*5)\\ \\c=6√(5) \ m \\ \\Answer : the length of the hypotenuse of a right triangle is: 6√(5) \ m`