SOLUTION: Please help me solve this problem: A city park in the shape of a right triangle has an area of 450√3 square yards. One leg of the triangle measures half the length of the hy

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Question 1045756: Please help me solve this problem: A city park in the shape of a right triangle has an area of 450√3 square yards. One leg of the triangle measures half the length of the hypotenuse. What are the dimensions of the park?
Answer by josgarithmetic(39795)   (Show Source): You can put this solution on YOUR website!
h for hypotenuse
y for height
x for length

AREA:


Either leg,


The triangle is a RIGHT Triangle.



System of Equations:
, having one modification done already.

Another modification,

Take the rest of the process; a few or several algebra steps. The obvious first step is substitute for h in the Pythagorean Theorem relationship equation.

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