Triangle - is RT?

Triangle has a circumference of 90 cm. Side b is 1 cm longer than c, and side c is 31 cm longer than side a. Calculate the length of sides and determine whether a triangle is a right triangle.

Result

a =  9 cm
b =  41 cm
c =  40 cm


c =

Step-by-step explanation:


b=1+c
c = 31+a
a+b+c=90

b-c = 1
a-c = -31
a+b+c = 90

Pivot: Row 1 ↔ Row 2
a-c = -31
b-c = 1
a+b+c = 90

Row 3 - Row 1 → Row 3
a-c = -31
b-c = 1
b+2c = 121

Row 3 - Row 2 → Row 3
a-c = -31
b-c = 1
3c = 120


c = 120/3 = 40
b = 1+c = 1+40 = 41
a = -31+c = -31+40 = 9

a = 9
b = 41
c = 40

Our linear equations calculator calculates it.
412=402+92

Try calculation via our triangle calculator.




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