Purchase Solution

Geometric Problem : Algebraic Proof - Relations Between Distances

Not what you're looking for?

Ask Custom Question

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.

Attachments
Purchase this Solution
Solution Summary

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

Purchase this Solution
Free BrainMass Quizzes
Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Probability Quiz

Some questions on probability

View More Free Quizzes
Related BrainMass Solutions

  • Geometric proof

    Different from the above geometric proof, here is an algebraic proof. We note that is the height of the parallelogram spanned by and .

  • Multiplicities and eigenvalues

    We know that μ is also an eigenvalue of B, with the same algebraic multiplicity. Suppose that g is the geometric multiplicity of μ, as an eigenvalue of B. Show that μ has geometric multiplicity g as an eigenvalue of A.

  • Algebraic identities

    This shows how to draw and describe algebraic identities and geometric representation.

  • Algebraic Manipulation

    490414 Algebraic Manipulation I would be grateful for the help of someone used to algebraic manipulations to explain how to go from one equation to another. Please see attachment.

  • Matrices Eigenvalues, eigenspace, and eigenbasis.

    The algebraic multiplicity (m=1) of each of the eigenvalues equal their respective geometric multiplicity, hence these two eigenvectors form an eigenbasis. 2.

  • Recurrence Relations, Partitions, Generating Functions, Monomials and Noncommutative Algebraic Structure

    Recurrence Relations, Partitions, Generating Functions, Monomials and Noncommutative Algebraic Structure are investigated.

  • Shortest distance between two moving ships & time it occurs

    Give algebraic expressions for the north-south and east-west distances between the two ships, determine the number of hours after 2 p.m. at which the minimum distance between them is attained, and determine that minimum distance.

  • Real life examples of sequences

    65626 Sequences and series I need direction on how to approach the sequencing and series of algebraic arithmetic. (See attached file for full problem description) ?

  • Eigenvalues, multiplicites, and eigenspace

    For each, give the algebraic multiplicity, geometric multiplicity, and describe the eigenspace. Hello Please find the solution in the attached file. This provides an example of finding eigenvalues, multiplicities, and eigenspace.

View More Related Solutions