SOLUTION: a right triangle is formed by the x axis, the y axis and the line y=-2x+3. Find the length of the hypotenuse. Round your answer to the nearest hundreth
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Question 370215: a right triangle is formed by the x axis, the y axis and the line y=-2x+3. Find the length of the hypotenuse. Round your answer to the nearest hundreth Answer by robertb(5830) (Show Source):
You can put this solution on YOUR website! Write the equation in intercept form:
2x + y = 3, or 2x/3 + y/3 = 1, or x/1.5 + y/3 = 1. Thus the x-intercept is 1.5 and the y-intercept is 3. Incidentally these are also the lengths of the legs of the right triangle. By the Pythagorean theorem, the hypotenuse has length , rounded to the nearest hundredth.
