SOLUTION: Two sides of a triangle have lengths 6 and 8. What lengths are possible for the third side? Explain.

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Question 79658This question is from textbook geometry reasoning
: Two sides of a triangle have lengths 6 and 8. What lengths are possible for the third side? Explain.This question is from textbook geometry reasoning

Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
If the triangle is a right triangle (it has a 90 degree angle), then we can use Pythagoreans theorem to solve for the third side:
Solved by pluggable solver: FIND hypotenuse by two sides

As we know from pythagorean theorem, length of hypoenuse c and sides are related as a%5E2%2Bb%5E2=c%5E2.


So, side c=sqrt%28+a%5E2%2Bb%5E2+%29+=+sqrt%28+6%5E2+%2B+8%5E2+%29+=+10




So the third side is 10