Name:___________________________________________________ Date:__________________ Block:_____________
Inequalities in One Triangle: Geometry A
1) A triangle has 1 side length of 8 cm and another of 17cm. Descrive the possible lengths of the third side:
2) Describe the possible values of x for the two diagrams below:
3) Suppose you know the following information about distances between cities in the Philippine Islands:
Cadiz to Masbate: 99 miles
Cadiz to Guiuan: 165 miles.
Describe the possible diatances from Guiuan to Masbate:
4) You are given an 18-inch piece of wire. You want to bend the wite to form a triangle to that the length of each
side is a whole number.
a) Sketch four possible isosceles triangles and label the side lengths:
b) Sketch a possible acute scalene triangle and label the side lengths:
c) Sketch a possible obtuse scalene triangle and label the side lengths.
d) List three combinations of segment lengths with a sum of 18 that will not produce triangles.
5) The term “kitchen triangle” refers to the imaginary triangle formed by the refrigerator, the sink, and the stove.
The distances shown are measured in feet.
a) What is wrong with the labels on the given kitchen triangle?
b) Can a kitchen triangle have the following side lengths:
9 feet, 3 feet and 5 feet? Explain why or why not?
Name:___________________________________________________ Date:__________________ Block:_____________
Inequalities in TWO Triangles: Geometry A
The Hinge Theorem:
1)Use the Hinge Theorem to complete the statement with: <, >, 𝑜𝑟 =.
a)
b)
c)
2) Use an inequality to describe a restriction on the value of x as determined by the Hinge Theorem: