Question

A triangle has sides 12cm, 9cm and 15cm. Is the triangle right-angled? Justify your answer

Answer 1

yes

Explanation:

Yes this triangle is right angled and can be justified using the Pythagorean theorem. The theorem states that:
`a^(2) +b^(2) = c^(2)`. Substitute using the given values:

(9^2)+(12^2)=15^2

81 + 144 = 255

255 = 255.

It satisfies the theorem therefore it is a right angle triangle.