triangle inequality theorem. the sum of the two shorter sides of any triangle must be greater than...
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Triangle Inequality Theorem
Triangle Inequality Theorem The sum of the two shorter sides of any triangle must be greater than the third side.
Example:3 + 5 > 7
8 > 7 Yes!
Practice
Decide if it is possible to construct a triangle having the given side lengths.
If not, explain.
13mm, 25mm, 14mm
13 + 14 > 2527 > 25
Yes!
9in, 17in, 8in
8 + 9 > 1717 > 17
No!
Sides & Angles
The longest side of a triangle is always across from the largest angle. The shortest sides of a triangle is always across from the smallest angle.
Practice
m____ < m____ < m____
_______ < ______ < _______
m____ < m____ < m____
_______ < ______ < _______
C B XZ___
BC
A___
BA
___
AC
___
XZ
___
YZ
___
XZ
Y
Practice
List the sides in order from least to greatest:
List the angles in order from least to greatest:
<H, <J, <I
___
UT ,
___
ST ,
___
SU
Practice