132k views
20 votes
Find three consecutive even integers such that the sum

of the squares of the lesser two integers is equal to the
square of the greatest,

User Eustace
by
5.2k points

1 Answer

5 votes

Answer:Hi, Sam!

Okay, so let's call the 3 consecutive even integers, X, X + 2 , X +4

So the sum of the smaller two (X +X + 2) = X + 4 +6

2X +2 = X + 10

X = 8

Therefore,

X = 8

X + 2 = 10

X + 4 + 12

These are your integers

Step-by-step explanation:

User LeonBrussels
by
4.4k points