# Interactive video lesson plan for: Problems on Basic Proportionality Theorem | Triangle proportionality theorem | Thales Theorem

#### Activity overview:

Problems on Basic Proportionality Theorem | Applications of Triangle proportionality theorem | Thales Theorem
http://www.learncbse.in/ncert-solutions-class-10th-maths-chapter-6-triangles-exercise-6-1-question-1/
http://www.learncbse.in/rd-sharma-class-10-solutions/
http://www.learncbse.in/cbse-sample-papers/

Basic Proportionality Theorem | Triangle proportionality theorem
If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio.

Converse of Basic Proportionality Theorem | Triangle proportionality theorem
If a line divides any two sides of a triangle in the same ratio, then the line is parallel to the third side.

00:02 Q1. In Fig. 6.17, (i) and (ii), DE || BC. Find EC in 00:25 (i) and AD in 02:17 (ii).
00:38 Basic Proportionality Theorem:If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio.
02:24 Apply Basic Proportionality Theorem.
04:00 Q2. E and F are points on the sides PQ and PR respectively of a triangle PQR. For each of the following cases,state whether EF||QR :
04:22 (i) PE = 3.9 cm, EQ = 3 cm, PF = 3.6 cm and FR = 2.4 cm
04:52 Triangle proportionality theorem | Basic Proportionality Theorem.
07:38 (ii) PE = 4 cm, QE = 4.5 cm, PF = 8 cm and RF = 9 cm
08:33 Check BPT (Basic Proportionality Theorem) holds for different sides.
10:47 (iii) PQ = 1.28 cm, PR = 2.56 cm, PE = 0.18 cm and PF = 0.36 cm
11:57 Apply triangle proportionality theorem.
16:40 Q3. In Fig. 6.18, if LM || CB and LN || CD, prove that AM/AB = AN/AD .
17:27 Consider triangles and apply Basic Proportionality Theorem
17:47 Use Side-Splitter Theorem
22:14 Q4. In Fig. 6.19, DE || AC and DF || AE. Prove that BF/FE = BE/EC.
23:44 Triangle proportionality theorem
25:03 Q5. In Fig. 6.20, DE || OQ and DF || OR. Show that EF || QR.
26:47 Basic proportionality theorem
28:18 Q6. In Fig. 6.21, A, B and C are points on OP, OQ and OR respectively such that AB || PQ and AC || PR. Show that BC || QR.
29:56 Use triangle proportionality theorem

Geometry Basic Proportionality Theorem Class 10
Basic Proportionality Theorem
Applications of basic proportionality theorem
Triangle proportionality theorem
proportionality theorem
Thales Theorem
converse of basic proportionality theorem
Side-Splitter Theorem

learncbse.in
CBSE solutions for class 10 maths Chapter 6 Triangles Exercise 6.2
CBSE class 10 maths NCERT Solutions chapter 6 Triangles Exercise 6.2 | Thales Theorem
CBSE class 10 maths NCERT Solutions chapter 6 Triangles
NCERT solutions for CBSE class 10 maths Triangles
CBSE class 10 maths solutions Triangles

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