The first side of a triangle measures 4 in. less than the second side, the third side is 3 in. more than the first side, and the perimeter is 15 in. How long is the third side?



If s represents the length of the second side, which of the following represents the length of the third side?

Respuesta :

Answer:

[tex]\boxed{\frac{23}{3} ~in}[/tex] or [tex]\boxed{7,7~in}[/tex]

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Step-by-step explanation:

Suppose, the first side is a, the second side is b, and the third side is c. So:

→ a = s - 4

→ b = s

→ c = (s - 4) + 3

→ a + b + c = 15

First step, find the value of s

a + b + c = 15

(s - 4) + s + (s - 4) + 3 = 15

3s - 5 = 15

3s = 15 + 5

3s = 20

[tex]s = \frac{20}{3}[/tex]

So, the third side is

c = (s - 3) + 4

c = s + 1

c = [tex]\frac{20}{3} + 1[/tex]

[tex]c = \frac{23}{3}[/tex]

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Happy to help :)

Answer:

the answers is 7,7 in

Step-by-step explanation:

hope this help