One property of the diagonals of a rhombus is that they are perpendicular bisectors of each other. So 4 congruent right triangles will be formed when you draw the two diagonals. Considering one right triangle, we can solve for the two sides by dividing them by 2. 24 ft/ 2 = 12 ft 18 ft/ 2 = 9 ft
Using the Pythagorean Theorem, we can now solve for the hypotenuse which is the side of the rhombus. side = √(12²+9²) = 15 ft
When the multiples of the equations in a system is added or subtracted, the resulting equation together with any of the original equation will result in the same answer. Hence, the system of equations x + 4y = 2 7x = 14 will also have a solution of (2, 0).