Triangle sides

The perimeter of the isosceles triangle is 32 cm. The base is 2 cm longer than the shoulder. Calculate the sides of the triangle.

Final Answer:

a =  10
b =  10
c =  12

Step-by-step explanation:


a=b
c = 2+a
a+b+c = 32

a-b = 0
a-c = -2
a+b+c = 32

Row 2 - Row 1 → Row 2
a-b = 0
b-c = -2
a+b+c = 32

Row 3 - Row 1 → Row 3
a-b = 0
b-c = -2
2b+c = 32

Pivot: Row 2 ↔ Row 3
a-b = 0
2b+c = 32
b-c = -2

Row 3 - 1/2 · Row 2 → Row 3
a-b = 0
2b+c = 32
-1.5c = -18


c = -18/-1.5 = 12
b = 32-c/2 = 32-12/2 = 10
a = 0+b = 0+10 = 10

a = 10
b = 10
c = 12

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Calculation of an isosceles triangle.
See also our trigonometric triangle calculator.

You need to know the following knowledge to solve this word math problem:

algebraplanimetricsGrade of the word problem

 
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