draw a line segment of length 7.6cm and divide it in the ratio 5:8. Measure the two parts
Answers
Step I: AB = 7.6 cm is drawn.
Step II: A ray AX making an acute angle with AB is drawn.
Step III: After that, a ray BY is drawn parallel to AX making equal acute angle as in the previous step.
Step IV: Point A1, A2, A3, A4 and A5 is marked on AX and point B1, B2.... to B8 is marked on BY such that AA1 = A1A2 = A2A3 =....BB1= B1B2 = .... B7B8
Step V: A5 and B8 is joined and it intersected AB at point C diving it in the ratio 5:8.
AC : CB = 5 : 8
Justification:
ΔAA5C ~ ΔBB8C
∴ AA5/BB8 = AC/BC = 5/8
Hope It Will Help You
Step-by-step explanation:
Steps of construction:
1. Draw a line segment AB=7.6 cm.
2. Draw a ray AX making an acute angle at A with AB.
3. Draw another ray BY parallel to AX making an acute angle.
Make sure angle must be same as considered in step 2.
4. Taking A as centre draw an arc cutting at A1 on the line.
Taking same radius consider A1 as a centre and draw another arc cutting line at A2.
Repeat the same procedure and divide the line AX into 5 points A1,A2,A3,A4.and A5In such a way, AA1=A1A2=A2A3=A3A45. Similar to step 4,
Taking B as centre draw an arc cutting at B1 on the line.
Taking same radius (set in step 4) consider B1 as a centre and draw another arc cutting arc cutting line at B2.
Repeat the same procedure and divide the line BY into 8 points in such a way that BB1=B1B2=B2B3=B3B4=B4B5=B5B6=B6B7=B7B8
6. Join A5B8
7. Line A5B8 intersect AB at a point P in the ratio 5:8
8. Measurement : PB=4.7 cm and AP=2.9 cm
