The perimeter of a triangle is 19 cm. If the lengh of the longest side is twice

Mathematics

1 answer:

aliya0001 [1]1 year ago

7 0

If the perimeter of a triangle is 19 cm. The lengths of 3 sides is: a = 8, b = 7, c = 4.

<h3>Parimeter</h3>

Let a = longest

Let b= shortest

Let c= third side

a = 2c

a = (b+ c) - 3

a + 3 = b + c

Using three variables to solve the expression for perimeter

Perimeter= 19 cm

a+ b + c = 19

a + (a + 3) = 19

2a + 3 = 19

2a= 16

Divide both side by 2a

a=16/2

a = 8

a = 2c

8 = 2c

c=8/2

c = 4

a + b + c= 19

8 + b + 4 = 19

12 + b = 19

b=19-12

b = 7

Hence,

a = 8, b = 7, c = 4

Therefore If the perimeter of a triangle is 19 cm. The lengths of 3 sides is: a = 8, b = 7, c = 4.

The complete question is:

Perimeter of triangle is 19cm. If the length of the longest side is twice that of the shortest side and 3 less than the sum of the lengths of the 2 sides find lengths of 3 sides.

Learn more about perimeter here:brainly.com/question/19819849

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