Question

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

Answer 1

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

`a^2+b^2=c^2`

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

`L_s=18^2+24^2=324+576=900\\\\R_s=30^2=900\\\\L_s=R_s`

Answer: It's the right triangle.