Question

Is 18ft, 23ft, 29ft a right triangle ?

Answer 1

Answer: No it is not a right triangle

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Step-by-step explanation:

a = 18, b = 23, c = 29

note: the largest value is always c

Plug those values into the pythagorean theorem

a^2 + b^2 = c^2

18^2 + 23^2 = 29^2

324 + 529 = 841

853 = 841

The last equation is false, so the first equation is false when (a,b,c) = (18,23,29). Meaning that we do not have a right triangle.

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In contrast, something like a 3,4,5 triangle is a right triangle because...

a^2 + b^2 = c^2

3^2 + 4^2 = 5^2

9 + 16 = 25

25 = 25

that true equation means the original equation is true for (a,b,c) = (3,4,5)

Answer 2

This isn't a right-angled triangle because 841 can only equal 841.

Step-by-step explanation:

18ft, 23ft, 29ft

let c=29ft, a=18ft, b=23ft

c^2=a^2+b^2

29^2=18^2+23^2

841=324+529

841=853

Therefore this isn't a right-angled triangle because 841 can only equal 841