37- Exercise 17.5 Q5 AND Q6 Transformation of triangle into a square| Class 9 Mathematics (Sci)

EXERCISE 17.5
Q5.Construct a triangle having base 3.5cm and other two sides equal to 3.4cm and 3.8cm respectively. Transform into a square of equal area.
CONSTRUCTION OF TRIANGLE
1.Draw a line segment AB of length 3.5cm.
2.With Centre at A draw an arc of radius 3.4cm.
3.With Centre at B draw another arc of radius 3.8cm which cuts first arc at point C.
4.Join C to A and B to complete the triangle ABC.
TRANSFORMATION OF TRIANGLE INTO RECTANGLE
5.Draw right bisector DE which cuts AB at point F.
6.From C draw a ray CG parallel to AB which DE at point H.
7.Cut off ray mHI=mFB.
8.Join I to B to complete rectangle FBIH having area equal to triangle ABC.
TRANSFORMATION OF RECTANGLE INTO SQUARE
9.Produce IB to J making mBJ=mBF.
10.Bisect IJ at point O.
11.With Centre O and radius mOI=mOJ describe a semi-circle.
12.Produce FB to meet the semi-circle in K.
13.At K construct an angle of 90 degrees and draw ray KL.
14.Cut off mKM=mBK.
15.Produce BJ to N making mBN=mKM.
16.Join M to N to complete square BKMN.
17. Because Area of square BKMN= Area of rectangle FBIH= Area of triangle ABC
18.So Area of triangle ABC= Area of square BKMN
EXERCISE 17.5
Q6.Construct a triangle having base 3.5cm and other two sides equal to 3.4cm and 3.8cm respectively. Transform into a square of equal area.
CONSTRUCTION OF TRIANGLE
1.Draw a line segment AB of length 5cm.
2.With Centre at A draw an arc of radius 5cm.
3.With Centre at B draw another arc of radius 6cm which cuts first arc at point C.
4.Join C to A and B to complete the triangle ABC.
TRANSFORMATION OF TRIANGLE INTO RECTANGLE
5.Draw right bisector DE which cuts AB at point F.
6.From C draw a ray CG parallel to AB which DE at point H.
7.Cut off ray mHI=mFB.
8.Join I to B to complete rectangle FBIH having area equal to triangle ABC.
TRANSFORMATION OF RECTANGLE INTO SQUARE
9.Produce IB to J making mBJ=mBF.
10.Bisect BJ at point O.
11.With Centre O and radius mOI=mOJ describe a semi-circle.
12.Produce FB to meet the semi-circle in K.
13.At K construct an angle of 90 degrees and draw ray KL.
14.Cut off mKM=mBK.
15.Produce BJ to N making mBN=mKM.
16.Join M to N to complete square BKMN having area equal Rectangle FBIH.
17.Because Area of square BKMN = Area of rectangle FBIH= Area of triangle ABC
18.So Area of triangle ABC= Area of square BKMN

Title: "Transforming a Triangle into a Square with Thread Compass | Class 9 Mathematics (Sci)"

Description:
Get ready for an exciting journey in the world of geometry as we tackle Exercise 17.5 Questions 5 and 6 from Class 9 Mathematics (Science). In this tutorial, we're going to show you a clever and straightforward way to transform a triangle into a square using a simple thread compass technique.

Watch closely as we demonstrate how to tighten a thread around a marker, and then, using it as our compass, create arcs and right bisectors that magically reshape a triangle into a square. It's a fascinating approach that will not only help you understand geometry better but also make the process incredibly easy.

Whether you're a student looking to ace your geometry class or someone with a passion for innovative mathematical techniques, this video is for you. We break down each step into manageable instructions, ensuring that you can follow along effortlessly.

Keywords for easy search:
1. Class 9 Mathematics (Science)
2. Triangle to Square Transformation
3. Thread Compass Technique
4. Geometry Tutorial
5. Innovative Math Methods
6. Right Bisectors in Geometry
7. Exercise 17.5 Questions 5 and 6
8. Mathematics Transformation
9. Step-by-Step Geometry
10. Math for Beginners

Unlock the secrets of geometry and expand your mathematical toolkit with this enlightening tutorial. Don't forget to like, share, and subscribe to our channel for more educational content. Let's embark on this geometric adventure together!

[sarimali]

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I have never seen such a nice and clear educational work like this before.

[dtechgujrat]

what a great contribution towards learning... keep it up gentle guy

[cartoonforyou]

Sir i can't explain that how much you helped me to do question 4 and 6 keep this method of teaching up inshallah you will soon
succeed

[amnashahid]

It helped me a lot! Your teaching way is very good. THANKS!

[sarakhan]

thank you sir i am having my maths board paper tommorrow and Im fully prepared now just bcz of you.

[kidsisland]

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[mkkhan]

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[eshalfatima]

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😊

[zarashamas]

thank u soo much sir i understand very well

[tayyabaarshad]

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[tayyabaarshad]

Allah ap karaki dai you are a best teacher

[ShamailaTariq-kf]

Sir in key 2 diagrams are separately drawn it is correct

[munibajamil]

Thank you so much sir this is very complicated question but i understand it

[sadiaasad]

Sir aap nay bht achhi videos bnayen. Lakin ub mazeed kaam kyun nahi kr rhay?
Aap jaisay achhay teachers ke students ko hmaisha zroorat hoti hai

[ShamailaTariq-kf]

Sir in key book 2 diagrams are separately drawn is it correct

[AbdulMajid-fohc]

Sir can you have 10th class mathematics lectures plz reply

[ShamailaTariq-kf]

Sir in key book 2 diagrams are separately drawn is it correct