In triangle $ABC$, $AB=15$ cm, $BC=8$ cm and $AC=17$ cm. Explain why angle $ABC$ is a righ

Question

In triangle $ABC$, $AB=15$ cm, $BC=8$ cm and $AC=17$ cm. Explain why angle $ABC$ is a right angle. $BA$ is produced to $D$ and $AD=5$ cm. Find the length of $DC$.

Accepted Answer

(a) Proved: $\angle ABC=90^\circ$ (b) $DC=21.5\text{ cm}$

Pythagoras’ Theorem - The Converse of Pythagoras Theorem

Pythagoras’ Theorem - The Converse of Pythagoras Theorem

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