Question

Two sides of a triangle are 10 mm and 7 mm. Determine the length of the third side from the choices given.(1 point)
Responses

20 mm
20 mm

5 mm
5 mm

2 mm
2 mm

1 mm

Answer 1

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
b+c and a
b−c

Answer 2

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)
<a<

Answer 3

5 mm

Answer 4

The condition statements that must be met in order for three side lengths a, b, and c to create a triangle are:

a < b + c
b < a + c
c < a + b

Answer 5

In this case, we can use the Triangle Inequality Theorem which states that in a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.

Given that b = 6, c = 7, the inequality representing the possible values of side "a" to create a triangle would be:

a < b + c
a < 6 + 7
a < 13

Therefore, the completed inequality would be:

a < 13