Algebra House
  • Ask a Question
    • Answered Questions
  • Examples
  • State Test Practice
    • Algebra 1 State Test Practice
    • Geometry State Test Practice
  • ACT and SAT
  • Calculators
    • Problem Solver
    • Graphing Calculator
    • 3D Graphing Calculator
  • Contact
    • Contact Algebra House
    • Leave a Tip


​​ALGEBRA eXAMPLES

Classifying a triangle

8/7/2011

0 Comments

 
Which classification best describes the triangle?
The measures of the angles of a triangle can be represented
by the expressions x°, (x + 20)°, and (2x)°. 

Angles of a triangle add up to 180°


x + x + 20 + 2x = 180 {added angles up and set equal to 180}
4x + 20 = 180 {combined like terms}
4x = 160 {subtracted 20 from both sides}
x = 40 {divided both sides by 4}
x + 20 = 60 {substituted 40, in for x, into x + 20}
2x = 80 {substituted 40, in for x, into 2x}

40°, 60°, and 80° are the angles
The triangle is an acute triangle {none of the angles are greater than/equal to 90°}

© Algebra House

0 Comments

Your comment will be posted after it is approved.


Leave a Reply.


    Ask a Question


    Algebra Examples Playlist


    Examples

    All
    All Word Problems
    Basic Math
    Combining Like Terms
    Distributive Property
    Equations Of Lines
    Exponents
    Factoring
    Foil Method
    Functions
    Geometry
    Graphing
    Imaginary Numbers
    Inequalities
    Linear Equations
    Literal Equations
    Miscellaneous
    Percents
    Pythagorean Theorem
    Quadratic Equations
    Radicals
    Simplifying
    Slopes And Intercepts
    Solving Equations
    System Of Equations
    Word Problems Age
    Word Problems Distance
    Word Problems Geometry
    Word Problems Integers
    Word Problems Misc.
    Word Problems Mixture
    Word Problems Money
    Word Problems Number



Algebra House
  • Ask a Question
    • Answered Questions
  • Examples
  • State Test Practice
    • Algebra 1 State Test Practice
    • Geometry State Test Practice
  • ACT and SAT
  • Calculators
    • Problem Solver
    • Graphing Calculator
    • 3D Graphing Calculator
  • Contact
    • Contact Algebra House
    • Leave a Tip