triangle ABC IS circumscribed about circle O , and D, E , and F are points of tangency.
AF=10,CE=20, and BD=30 , Find the lengths of the sides of the triangle and show that the triangle is right triangle.

Question

triangle ABC IS circumscribed about circle O , and D, E , and F are points of tangency. 
AF=10,CE=20, and BD=30 , Find the lengths of the sides of the triangle and show that the triangle is right triangle.

anonymous · Answer

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mertsj · Answer

You know the lengths of the sides.  If it is a right triangle, the Pythagorean Theorem will prove that it is.

anonymous · Answer

apply Pythagoras Theorem to this triangle i.e. AB^2+AC^2=BC^2 and here 30^2+40^2=50^2 ,  2500=2500. This shows that the sides make pythagorean triplet so this is a right triangle.