How to Find 5 Triangles with Integer Sides
Not what you're looking for?
Find five triangles with integers sides (without no commun divisors ) such that the median AD from angle A to side BC is m(a) = b + c - a where a, b , c are sides opposite to angles A, B, C respectively. The inner circle is tangent at point X to segment BD on side BC.
So find the 5 triangles of integers sides (with no commun divisor ) such that the length of median AD is m(a) = b + c - a.
For each of the five triangles, give separately the length of sides a, b, and c.
Purchase this Solution
Solution Summary
The expert determines how to find 5 triangles with integer sides.
Solution Preview
Call the side lengths a, b, and c, and the median m. Note that the sentence "The inner circle is tangent at point X to segment BD on side BC" has no bearing on the problem, since X is not mentioned again.
We will use Apollonius' Theorem for the length of a median (http://en.wikipedia.org/wiki/Apollonius%27_theorem):
c^2 + b^2 = ...
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.
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.
Probability Quiz
Some questions on probability
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.