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WorksheetsTriangle Inequality Theorem
Total questions: 17
Worksheet time: 9mins
a triangle with no congruent sides
scalene
isosceles
equilateral
obtuse
a triangle with two congruent sides
isosceles triangle
scalene triangle
equilateral triangle
acute triangle
a triangle with three congruent sides
scalene
equilateral triangle
equiangular
isosceles triangle
a triangle with exactly one angle greater than 90 degrees
right triangle
obtuse triangle
acute triangle
equiangular triangle
a triangle with three angles less than 90 degrees
isosceles triangle
acute triangle
right triangle
obtuse triangle
a triangle with exactly one angle equal to 90 degrees
obtuse triangle
right triangle
equilateral triangle
acute triangle
Which correctly describes the Triangle Inequality Theorem?
The sum of lengths of any two sides of a triangle must be greater than the length of thethird side.
The length of the shortest side of the triangle, squared, must be greater than the length of the longest side.
The sum of lengths of any two sides of a triangle must be less than the length of the third side.
Order the sides from longest to shortest.
WX, XV, WV
WX, WV, XV
WV, XW, XV
WV, XV, WX
John travels between three different cities for his job: Honaker, Bristol, and Danville. The most direct route to each city is the one on the diagram.
Which route is the longest?
Bristol and Danville
Danville and Honaker
Honaker and Bristol
Not enough information
Place the sides of triangle SIR in ascending order.
Side SI, side IR, side SR
side SR, side IR, side SI
side SR, side SI, side IR
side IR, side SI, side SR
Place the sides of triangle RIT in descending order.
Side TI, side IR, side TR
side TR, side IR, side TI
side TR, side TI, side IR
side IR, side TI, side TR
Place the sides of triangle TIS in descending order.
Side SI, side IT, side ST
side ST, side IT, side SI
side ST, side SI, side IT
side SI, side ST, side IT
State if the three numbers can be the measures of the sides of a triangle: 8, 19, 11
no
yes
not enough information
State if the three numbers can be the measures of the sides of a triangle: 12,8,4
no
yes
not enough information
State if the three numbers can be the measures of the sides of a triangle: 8,8,11
no
yes
not enough information
Two sides of a triangle have the following measures. Find the range of possible measures for the third side: 10, 9
1<x<19
2<x<20
3<x<18
2<x<19
If two sides of a triangle have lengths of 8 in and 12 in, what are the possible lengths for the third side?
6<x<14
8<x<12
4<x<20
-4<x<10
