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
5 mm
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
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
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<
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