OBJECTIVE:- To verify the above statement through activity. PRE-REQUISITE KNOWLEDGE:- The concept of similar triangles. Division of a line segment into equal parts. Construction of lines parallel to given line. MATERIAL REQUIRED:- White paper sheet Scale /Rubber Paint box Black ball point pen or pencil TO PERFORM THE ACTIVITY:- STEPS:- On the poster paper sheet, draw two similar triangle ABC and DEF. We have the ratio of their corresponding sides same and let as have AB: DE= BC: EF=CA: FD=5:3 ie , AB/DE=5/3 , BC/EF=5/3 , CA/FD =5/3, ie DE =3/5 AB, EF=3/5 BC,FD=3/5 CA Divide each side of ∆ABC into 5 equal parts and those of ∆DEF into 3 equal parts as shown in Fig (i) and (ii). By drawing parallel lines as shown in Fig (i) and (ii)., we have partition ∆ABC into 25 smaller triangle of same size and also each smaller triangle in fig (i) has same size and as that of the smaller triangle fig (ii). Paint the smaller triangle as shown in Fig (i) and (ii).. OBSERVATION:- Area of ∆ABC= Area of 25 smaller triangle in fig (i)=25 square unit Where area of one smaller triangle in fig (i)=P (square unit ) Area of ∆DEF=Area of a smaller triangle in Fig (ii)=9p where area of one smaller triangle in fig (ii)=P square units.
OBJECTIVE:- To verify the above statement through activity. PRE-REQUISITE KNOWLEDGE:- The concept of similar triangles. Division of a line segment into equal parts. Construction of lines parallel to given line. MATERIAL REQUIRED:- White paper sheet Scale /Rubber Paint box Black ball point pen or pencil TO PERFORM THE ACTIVITY:- STEPS:- On the poster paper sheet, draw two similar triangle ABC and DEF. We have the ratio of their corresponding sides same and let as have AB: DE= BC: EF=CA: FD=5:3 ie , AB/DE=5/3 , BC/EF=5/3 , CA/FD =5/3, ie DE =3/5 AB, EF=3/5 BC,FD=3/5 CA Divide each side of ∆ABC into 5 equal parts and those of ∆DEF into 3 equal parts as shown in Fig (i) and (ii). By drawing parallel lines as shown in Fig (i) and (ii)., we have partition ∆ABC into 25 smaller triangle of same size and also each smaller triangle in fig (i) has same size and as that of the smaller triangle fig (ii). Paint the smaller triangle as shown in Fig (i) and (ii).. OBSERVATION:- Area of ∆ABC= Area of 25 smaller triangle in fig (i)=25 square unit Where area of one smaller triangle in fig (i)=P (square unit ) Area of ∆DEF=Area of a smaller triangle in Fig (ii)=9p where area of one smaller triangle in fig (ii)=P square units.
Study%20Material%20%20Class%20X(Mathematics)%20SA%201.docx