Core stretch A triangle has sides $5(k-2)$ cm, $12(k-2)$ cm and $13(k-2)$ cm, where $k2$. P

Question

Core stretch A triangle has sides $5(k-2)$ cm, $12(k-2)$ cm and $13(k-2)$ cm, where $k>2$. Prove it is right-angled. If its perimeter is $150$ cm, find its area. $A$ $B$ $C$ $13(k-2)$ $12(k-2)$ $5(k-2)$

Accepted Answer

(a) right-angled by the converse theorem (b) $750\text{ cm}^2$.

An algebraic 5–12–13 triangle

An algebraic 5–12–13 triangle

Solution:

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