Question
In Triangle $ABC$ which is right angled at $B.$ Given that $AB = 9\ cm, AC = 15\ cm$ and $D, E$ are the mid$-$points of the sides $AB$ and $AC$ respectively. Find the length of $BC$ ?
✓
Answer
Applying Pythagoras theorem in $\triangle\text{ABC}$
$AC^2= AB^2+ BC^2$
$15^2= 9^2+ BC^2$
$225 = 81 + BC^2$
$225 − 81 = BC^2$
$BC^2= 144$
$BC = 12\ cm$
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