draw a line segement of length 7.6cm and divides it internally in the ratio 3.2 measure the two parts
Answers
Step-by-step explanation:
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Step-by-step explanation:
Given: Length of line segment 7.6 cm and ratio 5 : 8 i.e., m : n.
Step-by-step Construction:
Step 1: Draw a line segment AB of length 7.6 cm.
Step 2: Draw any ray AX, making an acute angle with AB.
Step 3: Locate 13 ( = m + n ) points A_1\,,\,A_2\,,\,A_3\,,\,A_4\,,\,A_5\,,\,A_6\,,\,A_7\,,\,A_8\,,\,A_9\,,\,A_{10}\,,\,A_{11}\,,\,A_{12}\,,\,A_{13}A
1
,A
2
,A
3
,A
4
,A
5
,A
6
,A
7
,A
8
,A
9
,A
10
,A
11
,A
12
,A
13
on AX so that AA_1=A_1A_2=A_2A_3=A_3A_4=A_4A_5=A_5A_6=A_6A_7=A_7A_8=A_8A_9=A_9A_{10}=A_{10}A_{11}=A_{11}A_{12}=A_{12}A_{13}AA
1
=A
1
A
2
=A
2
A
3
=A
3
A
4
=A
4
A
5
=A
5
A
6
=A
6
A
7
=A
7
A
8
=A
8
A
9
=A
9
A
10
=A
10
A
11
=A
11
A
12
=A
12
A
13
Step 4: Join BA_{13}BA
13
Step 5: Through the point A_5A
5
( m = 5 ) , draw a line parallel to A_{13}BA
13
B ( by making an angle equal to \angle AA_{13}B∠AA
13
B ) at A_5A
5
intersecting AB at the point C.
So, we get
⇒ AC : CB = 5 : 8
⇒ AC = 2.9 cm and CB = 4.7 cm
Figure is attached
