Circumference 4127

The base is 3.5 cm shorter than the shoulder in an isosceles triangle. The circumference of the triangle is 58 cm. Calculate the lengths of the sides of this triangle.

Correct answer:

a =  20.5
b =  20.5
c =  17

Step-by-step explanation:


a+b+c=58
a=b
c = a - 3.5

a+b+c = 58
a-b = 0
a-c = 3.5

Row 2 - Row 1 → Row 2
a+b+c = 58
-2b-c = -58
a-c = 3.5

Row 3 - Row 1 → Row 3
a+b+c = 58
-2b-c = -58
-b-2c = -54.5

Row 3 - -1/-2 · Row 2 → Row 3
a+b+c = 58
-2b-c = -58
-1.5c = -25.5


c = -25.5/-1.5 = 17
b = -58+c/-2 = -58+17/-2 = 20.5
a = 58-b-c = 58-20.5-17 = 20.5

a = 41/2 = 20.5
b = 41/2 = 20.5
c = 17

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Calculation of an isosceles triangle.
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