Triangle Inequality, sides, angle relationships
Sum of angles of triangle =
180
possible
A builder has decided to use triangles within his design. He decided to use dimensions of 15 ft, 13 ft and 14 ft. Are these possible or impossible dimensions?
In ∆ABC, AB=10, BC=9, CA=11 largest angle of triangle is
Angle B
33< x < 43
In a triangle with two sides of lengths 5 and 38, what are the possible lengths of the third side?
Between 22 and 38
In a triangle with two sides of lengths 8 and 30, what are the possible lengths of the third side?
Bigger than 3 and smaller than 15.
In a triangle with two sides of lengths 9 and 6, what are the possible lengths of the third side?
In ∆DEF, m∠D=64, m∠E=60, m∠F=56 which is shortest side of triangle
Side DE
In ∆DEF, m∠D=60, m∠E=70, m∠F=50 which is shortest side of triangle
Side DF
impossible
The blueprints for a bridge label the triangles within the design as having side lengths of 20 ft, 20 ft and 40 ft. Are these possible or impossible side lengths?
Triangle Inequality Theorem (∆ Inequality Thm)
The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
In ∆BCD, m∠B=62, m∠D=60, m∠C=58 the longest side of the ∆is
side DC
Longest side of triangle is opposite
the largest angle
Shortest side is opposite
the smaller angle