Triangle $ABC$ has $AB=6\text{ cm}$, $BC=8\text{ cm}$ and $CA=10\text{ cm}$. Triangle \

Question

Triangle $ABC$ has $AB=6\text{ cm}$, $BC=8\text{ cm}$ and $CA=10\text{ cm}$. Triangle $PQR$ has $PQ=9\text{ cm}$, $QR=12\text{ cm}$ and $RP=15\text{ cm}$. Show that $\triangle ABC\sim\triangle PQR$, stating the test.[2] Are the triangles congruent? Give a reason.[1]

Accepted Answer

(a) SSS, all corresponding side ratios $\dfrac23$ (b) No; corresponding sides are unequal.

Similarity from three side ratios

Similarity from three side ratios

Solution:

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