jasinblake3342 jasinblake3342
  • 12-12-2018
  • Mathematics
contestada

Is the triangle with side lengths of 18cm, 24cm and 30 cm a right triangle ?

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gmany
gmany gmany
  • 15-12-2018

If a, b and c are the lengths of a right triangle and c is the longest side, then:

[tex]a^2+b^2=c^2[/tex]

We have a = 18cm, b = 24cm and c = 30cm. Substitute and check:

[tex]L_s=18^2+24^2=324+576=900\\\\R_s=30^2=900\\\\L_s=R_s[/tex]

Answer: It's the right triangle.

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