Geomentry help | Pythagorean theorem Applications | Word Problems on Pythagoras Theorem
Geometry word problems on triangles
00:03 Q11. An aeroplane leaves an airport and flies due north at a speed of 1000 km per hour. At the same time, another aeroplane leaves the same airport and flies due west at a speed of 1200 km per hour. How far apart will be the two planes after 1 and 1/2 hours?
03:45 Pythagoras theorem
05:24 Worked out Word problems on Pythagoras Theorem.
Q12. Two poles of heights 6 m and 11 m stand on a plane ground. If the distance between the feet of the poles is 12 m, find the distance between their tops.
07:49 Pythagoras Rule
08:52 Q13. D and E are points on the sides CA and CB respectively of a triangle ABC right angled at C. Prove that AE^2 + BD^2 = AB^2 +DE^2.
10:19 Pythagoras Theorem
13:04 Q14. The perpendicular from A on side BC of a? ABC intersects BC at D such that DB = 3 CD(see Fig. 6.55). Prove that 2AB2 =2 AC2 + BC2.
14:43 Pythagoras Theorem
15:54 Deductions to simplify and prove the results
17:22 Q15. In an equilateral triangle ABC, D is a point on side BC such that BD = 13 BC. Prove that 9 AD2 = 7 AB2.
18:39 Consider two triangles & apply Pythagoras Theorem
20:15 AA similarity criterion
If two angles of one triangle are respectively equal to two angles of another triangle, then the two triangles are similar.
20:35 conditions for two triangles to be similar
Two triangles are similar, if (i) their corresponding angles are equal and (ii) their corresponding sides are in the same ratio (or proportion)
26:00 Q16. In an equilateral triangle, prove that three times the square of one side is equal to fourtimes the square of one of its altitudes.
27:35 AA similarity rule
29:01 Pythagoras Theorem.
In this video, we learn how to apply Pythagoras Rule to solve Problems on right-triangles.Use parallel lines concept and triangle similarity theorems to prove problems on solving similar triangles.Many Word problems are solved using Pythagoras Theorem.
Reference book for the above video is
National Council of Educational Research and Training (NCERT) Book for class 10 Subject: Maths
This Video is also refers as CBSE class 10 mathts NCERT Solutions Chapter 6 Triangles.
CBSE solutions for class 10 maths Chapter 6 Triangles Exercise 6.3
CBSE class 10 maths NCERT Solutions chapter 6 Triangles Exercise 6.2 | Thales Theorem
CBSE class 10 maths NCERT Solutions chapter 6 Triangles
Solutions for CBSE class 10 Maths Chapter 6
NCERT solutions for class 10 maths Triangles
NCERT solutions for CBSE class 10 maths Triangles
CBSE class 10 maths solutions Triangles
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