Complete the condition statements that must be met in order for three side lengths— a , b , and c —to create a triangle.(1 point)
a blank b+c and a blank b−c
fill in the blanks
a < b+c and a > |b-c|
Use the image to answer the question.
Complete the inequality so that it represents the whole-number values that side a could be to create a triangle.
An illustration of a triangle shows an equation along the base as b equals 6 and the hypotenuse as c equals 7. The third side on the triangle is labeled as a.
(1 point)
blank <a< blank
fill in the blank
8 < a <13
Apply the Triangle Inequality Theorem to determine which three side lengths form a triangle.(1 point)
Responses
8, 4, 12
8, 4, 12
20, 10, 30
20, 10, 30
10, 20, 15
10, 20, 15
8, 8, 20
10, 20, 15
Apply the Triangle Inequality Theorem to determine the possible whole number measures of the third side of a triangle if the first two sides measure 6 and 2. List them in ascending order.(2 points)
The measure of the third side could be blank, blank, or blank.
fill in the blank
The measure of the third side could be 1, 3, or 9
In triangle ABD
, AB
is 3 cm
long and BD
is 5 cm
long. According to the Triangle Inequality Theorem, which two lengths are possible lengths of AD
? (1 point)
Responses
2 cm
2 cm
1 cm
1 cm
10 cm
10 cm
7 cm
7 cm
4 cm