Explore BrainMass

Explore BrainMass

    Geometric Problem : Algebraic Proof - Relations Between Distances

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    Please see the attached file for the actual problem and a graphical illustration.
    Let ABC be a right triangle with sides a, b, and hypotenuse c. Let r be the radius of the inscribed circle and ra, rb, and rc be the radii of the ascribed circles tangent to sides a, b, and c. What "RELATIONSHIPS" can you discover among the lengths r, ra, rb, rc, a, b, and c. Note that r = (a + b - c)/2.

    © BrainMass Inc. brainmass.com December 24, 2021, 5:03 pm ad1c9bdddf


    Solution Summary

    Relations between geometric distances are found algebraically. The solution is well presented.