SOLUTION: A flower garden is in the shape of a right triangle. The longest side of the triangle measures 13 m. One of the shorter sides is 7 m longer than the other. Determine the length of
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Question 952766: A flower garden is in the shape of a right triangle. The longest side of the triangle measures 13 m. One of the shorter sides is 7 m longer than the other. Determine the length of the shortest side.
Answer by erica65404(394) (Show Source): You can put this solution on YOUR website!
Since the triangle is right triangle you can use the Pythagorean theorem to find the lengths of each side where is the hypotenuse and and are the lengths of the sides.
The longest side of every right triangle is the hypotenuse so right away we know that .
To calculate the sides you need to make separate equations. One side is and the other is . This is because it says "One of the shorter sides is 7 m longer than the other" which can be translated into the equation which leaves the remaining side as simply .
Plug these equations into the Pythagorean Theorem.
Distribute then solve for x to find the shortest side.
The value is 5 because a length cannot be negative.
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