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Nana76 [90]
3 years ago
13

The Dittany family's vegetable garden is shaped like a scalene triangle. Two of the sides measure 6 feet and 10 feet. Which coul

d be the length of the third side, in feet?
Question 2 options:

18

16

9

6
Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
3 0

Answer:

The length of the third side could be 9 ft

Step-by-step explanation:

we know that

<u>The Triangle Inequality Theorem</u> 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) 6+10>c -------> c

2) c+6>10 -----> c>4\ ft

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

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