Question

Area of of right angled triangle is 216 cm² one of the perpendicular sides is is 6 and more than the other. a) if the smaller side is 'x', what is the side perpendicular to it b) form a second degree equation

Answer 1

a) i presume that you are asking about the length of the longer side, so then the length will be (x + 6) cm, since it is 6 cm longer than the smaller side

b) since the area of a triangle is 1/2 × its base × its height, we can take the base and the height to be the two side perpendicular to each other, so the equation is 1/2 × x × (x+6) = 216. when you simplify it, the end result is  1/2x ^2 + 3x = 216. to form a second degree equation (or my school calls it a quadratic equation), just - 216 on both sides, so the answer for b is 1/2x^2 + 3x - 216 = 0