SOLUTION: Right angle triangle area 6cm2 A)3cm B)(x-5)cm write equation for the area of triangle and solve for x. Find the length of the hypotenuse. What is hypotenuse.

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Question 681858: Right angle triangle area 6cm2 A)3cm B)(x-5)cm
write equation for the area of triangle and solve for x.
Find the length of the hypotenuse. What is hypotenuse.

Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
a = 1%2F2bh = highlight_green%28%281%2F2%29%283%28x-5%29%29+=+%283%2F2%29%28x-5%29%29
...
6+=+%283%2F2%29%28x-5%29
...
6+=+%283%2F2%29x+-+%283%2F2%29%285%29
...
Multiply the entire equation by 2
12 = 3x - 15
12 + 15 = 3x/
27 = 3x
highlight_green%28x=9%29
...
3^2 + (9-5)^2 = c^2
9 + 16 = c^2
25 = c^2
sqrt%2825%29+=+sqrt%28c%5E2%29
highlight_green%28c=5%29
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