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Mathematics · 2024 · 2 marks
CBSE 2024 · Region 4 · Set 3 · Q21
In the given figure, Δ ABC is circumscribing a circle. Find the length of BC, if AR =4 cm, BR =3 cm and AC =11 cm.
In the given figure, $\displaystyle \Delta \mathrm{ABC}$ is circumscribing a circle. Find the length of BC , if $\displaystyle \mathrm{AR}=4 \mathrm{~cm}, \mathrm{BR}=3 \mathrm{~cm}$ and $\displaystyle \mathrm{AC}=11 \mathrm{~cm}$.
Marking-scheme solution
\(\displaystyle \mathrm{BP}=\mathrm{BR}=3 \mathrm{~cm}\) and \(\displaystyle \mathrm{AQ}=\mathrm{AR}=4 \mathrm{~cm}\)
\[\begin{aligned}
& \mathrm{QC}=\mathrm{AC}-\mathrm{AQ}=11-4=7 \mathrm{~cm} \\
& \mathrm{PC}=\mathrm{QC}=7 \mathrm{~cm} \\
& \therefore \mathrm{BC}=\mathrm{BP}+\mathrm{PC}=3+7=10 \mathrm{~cm}
\end{aligned}
\]
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CBSE Class 10 Mathematics past-paper question from the 2024 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.