CBSE Class 10 Sample Paper for 2027 Boards - Maths Standard

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Question 22 (b) - CBSE Class 10 Sample Paper for 2027 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards

Last updated at October 9, 2026 by

Question 22 (b) — slide 66

Question 22 (b) — slide 67

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Transcript

Question 22 (b) In the given figure, if ∠PQR=∠QSP,PQ=6 cm and PS=3 cm, then find the length of 𝑃𝑅. Now, In ∆ PRQ & ∆ PQS ∠PQR = ∠QSP ∠QPR = ∠QPS Hence by AA similarity criterion ∆ PRQ ∼ ∆ PQS Since the 2 triangles are similar, their corresponding sides are proportional Hence, (𝑷𝑸)/(𝑷𝑺)=(𝑷𝑹)/(𝑷𝑸) Q P R S (Common) (Given) PQ^(2)=PS × PR 𝟔^(𝟐)=𝟑 × 𝐏𝐑 36=3 × PR (36)/(3)= PR 12 = PR PR = 12 cm

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