Problems on Basic Proportionality Theorem | Applications of Triangle proportionality theorem | Thales Theorem

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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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