How to find length in quadratic equation of right angle triangle?

If you have an equation you are factoring to find the length of a leg of a right triangle, factor it to solve for x. If by some chance, one of those x-values is negative we can count that one out since length will never be negative. If you have 2 positive solutions, you may have to use some math to see if both of the lengths work according to pythagorean's theorem or if only one works. It depends upon what type of information you are given other than the quadratic.

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: