CBSE Class 10 Sample Paper for 2026 Boards - Maths Standard
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CBSE Class 10 Sample Paper for 2026 Boards - Maths Standard
Last updated at Aug. 25, 2025 by Teachoo
This question is similar to Chapter 6 Class 10 Triangles - Ex 6.3
Please check the question here
Transcript
Question 23 If AP and DQ are medians of triangles ABC and DEF respectively, where β³ABCβΌβ³DEF, then prove that π΄π΅/π·πΈ=π΄π/π·π Given: ΞABC and ΞDEF AP is the median of Ξ ABC & DQ is the median of Ξ DEF & ΞABC βΌ Ξ DEF To Prove:- π΄π΅/π·πΈ=π΄π/π·π Proof: Since AP is the median BP = CP = π/π BC Similarly, DQ is the median EQ = FQ = π/π EF Since ΞABC βΌ DEF And, Corresponding sides of Similar Triangle are proportional π¨π©/π«π¬=π©πͺ/π¬π=π¨πͺ/π·πΉ So, we can write π΄π΅/π·πΈ=π΅πΆ/πΈπΉ Putting BC = 2 Γ BP and EF = 2 Γ EQ π΄π΅/π·πΈ=2π΅π/2πΈπ π¨π©/π«π¬=π©π·/π¬πΈ Also, since ΞABC βΌ ΞDEF And, angles of similar triangle are equal β B = β E Now, In Ξ ABP & ΞDEQ β π΅=β π π΄π΅/π·πΈ=π΅π/πΈπ Hence by SAS similarly ΞABP βΌ ΞDEQ Since corresponding sides of similar triangles are proportional β΄ π¨π©/π·πΈ=π¨π«/π·π΄ Hence proved
