How do you determine if the lengths $18, 24, 30$ $18, 24, 30$ form a right triangle?

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Answer 1 · 2017-10-23T08:15:43

see below

we use Pythagoras' theorem

if $c$ $c$ is the hypotenuse ( the longest side), $a & b$ $a " & "b" "$ are the other two sides then

$c^{2} = a^{2} + b^{2}$ $c^2=a^2+b^2$

we ahve

$30^{2} = 900$ $30^2=900$

$18^{2} = 324$ $18^2=324$

$24^{2} = 576$ $24^2=576$

$324 + 576 = 900 = 30^{2}$ $324+576=900=30^2$

$:. 18,24,30" "$ do form a right angle triangle

How do you determine if the lengths 18, 24, 3018,24,3018, 24, 30 form a right triangle?