The perimeter of a triangle is 93 feet side a of the triangle is twice as long as side b side C is 3 feet longer than side a. find the length of each side.

Respuesta :

Answer:

a=36, b=18, c=39

Step-by-step explanation:

a + b + c = 93

You are told side a is is twice as long as b so a=2b.  Plug that into your equation.

2b + b + c = 93

simplified gives you 3b + c = 93

Now you know c is 3 feet longer than a.  You already know a is equal to 2b.  So c is equal to 2b + 3.  Plug that into your equation.

3b + (2b + 3) = 93

Simplified it is now 5b + 3 = 93.

Subtract 3 from both sides of the equal sign to get

5b = 90

Divide both sides by 5.

b = 18

Now you know side a is twice as long as b so side a must be 36.

a = 36

You also know side c is 3 feet longer than side a so side c must be 39

c = 39

Test your answers by adding all 3.  18 + 36 + 39 = 93

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