Help me with this word problem? Who wants 5 stars
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Help me with this word problem? Who wants 5 stars

[From: ] [author: ] [Date: 12-04-29] [Hit: ]
......
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. Find the length of the shorter side. (Hint: Use the Pythagorean Theorem: a^2 +b^2 = c^2)

I tried solving it and i got 5, but it shouldn't be 5. Please show your work

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right triangle : the longest side is hypotenuse
c = 13
a = x
b = x + 7

a²+b² = c²
x² +(x+7)² = 169
2x² + 14x= 120
x² + 7x = 60
solving for x positive gives : x = 5 m ==> answer

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7

13^2= 7^2 + x
13^2 - 7^2 = x^2
1
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