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Natali5045456 [20]

3 years ago

15

A triangle has one side that is 5 inches long and another that is 7 inches long. How many different lengths, in inches,are possi

ble for the last side of the triangle?

1 answer:

lubasha [3.4K]3 years ago

3 0

Answer:

2 < c < 12

Step-by-step explanation:

Let the last side of the triangle = c

The sum of any two sides must be greater than the third side. Let's say we have triangle ABC, where a = 5 inches and b = 7 inches

a + b > c (1)

a + c > b (2)

b + c > a (3)

From (1);

a + b > c

7 + 5 > c

c < 12

From (2):

a + c > b

7 + c > 5

7 - 5 < c

c > 2

From (3):

b + c > a

5 + c > 7

c > 7 - 5

c > 2

So the possible lengths of c are: 2 < c < 12

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Answer:

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Step-by-step explanation:

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4 years ago

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blondinia [14]

<h3>Solution:</h3>

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<h3>Answer:</h3>

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3 years ago

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4 years ago

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