The Dittany family's vegetable garden is shaped like a scalene triangle. Two of the sides measure 6 feet and 10 feet. Which could be the length of the third side, in feet?

Question 2 options:

18

16

9

6

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calculista calculista · Answer 1 · 2019-04-15T02:21:14+02:00

Answer:

The length of the third side could be 9 ft

Step-by-step explanation:

we know that

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

so

In this problem

Let

c-----> the length of the third side, in feet

Applying the Triangle Inequality Theorem

1) [tex]6+10>c[/tex] -------> [tex]c<16\ ft[/tex]

2) [tex]c+6>10[/tex] -----> [tex]c>4\ ft[/tex]

so

The length of the third side must be greater than 4 ft and less than 16 ft

Remember that

The scalene triangle has three different sides

therefore

The length of the third side could be 9 ft