Ex 6.3 Q10 Class 10 Math NCERT | CD & GH Are Angle Bisectors | Prove that ΔDCB ~ ΔHGE & ΔDCA ~ ΔHGF

In this video, I have solved Exercise 6.3 Question 10 of Class 10 Maths (NCERT), Chapter 6 – Triangles. This question has three parts, and I have explained all of them in the easiest and most conceptual way. 📌 10. CD and GH are respectively the bisectors of ∠ACB and ∠EGF such that D and H lie on sides AB and FE of ΔABC and ΔEFG respectively. If ΔABC ~ ΔFEG, show that: (i) 𝐶𝐷/𝐺𝐻 =𝐴𝐶/𝐹𝐺 (ii) ΔDCB ~ ΔHGE (iii) ΔDCA ~ ΔHGF 📝 What’s covered in this video (except the NCERT question): 🧠 • You will understand how to consider the correct triangles to prove that the ratios of their corresponding sides are proportional • How to prove ratios using angle bisectors • How to use similarity rules to compare two triangles • Step-by-step reasoning for corresponding angles and sides • How to write similarity statements in the correct order • Best method to show smaller triangles are similar • Geometry logic used in proving three parts of the question • Clear explanation using a neat diagram 🔍 Topics Included: ✅Angle Bisector Concept ✅ Similarity of Triangles (AAA Rule) ✅Ratio of Corresponding Sides ✅ Similar Sub-Triangles ✅ Geometry Proof Techniques 🎯 Useful for: 👉 Class 9 & 10 students 👉 class 10th board students 👉 all learners who love geometry—especially triangles and similarity concepts 👉 For students preparing for competitive exams like SSC, Railway, Bank PO, and other government job examinations where geometry questions are asked 👍 If you found this helpful, don’t forget to LIKE & SHARE the video! 👍 Subscribe for more Class 10 Maths Important Questions, Board Solutions & Short Tricks. ⏱ Timestamps: 00:00 – (i) AC/GH=AC/FG 02:12 – (ii) ΔDCB ~ ΔHGE 02:54 – (iii) ΔDCA ~ ΔHGF #class10maths #ncertsolutions #triangles #exercise6_3 #similartriangles #geometryclass10 #boardexam2025 #mathstricks #sscexam #railwayexam #bankpo