Right Triangle

Geometry Level 1

Given a triangle with side lengths of a = 8 , b = 10 , a n d c = 18 a=8,b=10, and c=18 , is it a right triangle?

No Yes

Noah Smalls by Noah Smalls , 18, USA

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3 solutions

William Isoroku
Nov 14, 2016

In fact this wouldn't be a triangle at all because it fails the triangle inequality theorem.

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Nice observation

Peter van der Linden - 4 years, 6 months ago

by pythagorean theorem,

18^2 is not equal to 8^2 + 10^2

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Noah Smalls
Nov 14, 2016

Proved formula.

a^2+b^2=c^2 Substitute.

8^2+10^2=18^2 Solve.

64+100=324

164 dose not equal 324, so otherwise... If u have the side length of 8,10, and 18 u would not have a right triangle

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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