Arithmetic 80808

The lengths of the sides of a right triangle form the first 3 terms of the arithmetic sequence. The content is 6cm2.

Correct answer:

a =  3
b =  4
c =  5

Step-by-step explanation:

a,b,c S = 6  cm2  S = 2ab b=a+d c=a+2d  c=a2+b2 = a2 + (a+d)2  (a+2d)2 = a2 + (a+d)2 a (a+d)=2 S = 12  a2+4a +4d2 = a2 + a2+2ad + d2 a2+ad = 12  4a + 3d2 = a2 +2ad a2+ad = 12  4a + 3d2 = a2 +2(12a2) 4a + 3d2 = a2 +242a2  a=3 d=1

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Tips for related online calculators
Do you have a system of equations and looking for calculator system of linear equations?
The Pythagorean theorem is the base for the right triangle calculator.
See also our trigonometric triangle calculator.

We encourage you to watch this tutorial video on this math problem: video1   video2

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