Answer:
160
Step-by-step explanation:
Add the ratios together to get the sum of them is 19. Since the perimeter is 380, divide 380 by 19 to get 20.
The shortest side is 3(20) = 60,
the next side is 5(20) = 100, and
the longest side is 8(20) = 160
So, we know that a^2 + b^2 = c^2. Right? That is called the Pythagorean Theorem.
In this case. We can say that 39 is a, 40 is b, and x is c.
NOTE: It doesn't really matter whether 39 is a or b. a & b are just the two legs of the right triangle.
So, if we say that 39 is a, 40 is b, and x is c. We can plug it into the Pythagorean Theorem.
39^2 + 40^2 = x^2
I'll let you take it from there.
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