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026. 50487 - Radius of Inscribed Circle

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Time limit 2000/4000/4000/4000 ms. Memory limit 65000/65000/65000/65000 Kb.
Question by Meral Ari.

Radius of Inscribed Circle

The area of a triangle is given by area = √ d  where d = s.(s-a).(s-b).(s-c). In the given formulas; a, b, and c are the lengths of the sides of the given triangle, and s is the semiperimeter of the triangle with the formula
s = (a + b + c) / 2

The radius of the inscribed circle r is given by the equation r = area / s and the radius of the circumscribed circle R is given by the equation R = (a*b*c)/(4*area)

Question: Write a program to read in the lengths of the sides of user defined number (n) of triangles. If d is a positive number, compute and print

  1. area
  2. radius of the inscribed circle (r)
  3. radius of the circumscribed circle (R)
for each triangle to a separate line. If the value of d for any given data is less than or equal to zero; print "Wrong Data!" and pass to next data.

Input specification
You will be given an integer (n) the number of triangles where 0 ≤ n ≤ 1000. Then, in each of the following n lines you will be given 3 integer numbers (lengths of the sides of each triangle: a, b, c)

Output specification:
If d is positive show three floating point numbers with 2 digits precision.

  1. area
  2. radius of the inscribed circle (r)
  3. radius of the circumscribed circle (R)
If d is zero or negative show the message "Wrong Data!"

Sample Input I
2
2 3 4
3 5 7
Sample Input II
2
8 2 4
7 5 4
Sample Output I
2.90 0.65 2.07
6.50 0.87 4.04
Sample Output II
Wrong Data!
9.80 1.22 3.57



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