23.3 length 7 cm class 5 math
Answers
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Step-by-step explanation:
1. Draw a line segment AB = 7 cm
2. Draw a ray AX, making acute ∠BAX
3. Along AX mark 3 + 5 = 8 Points
A
1
,
A
2
,
A
3
,
A
4
,
A
5
,
A
6
,
A
7
,
A
8
such that
A
A
1
=
A
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
4. Join
A
8
B
5. From
A
3
. Draw
A
3
C
|
|
A
8
B
meeting AB at C.
[By making an angle equal to
∠
B
A
8
A
at
A
3
]
Then C is the point on AB which divides it in the ratio 3:5.
Thus AC : BC = 3 : 5
Justification
Let
A
A
1
=
A
1
A
2
=
A
2
A
4
=
A
7
A
8
=
x
In
Δ
A
B
A
8
, we have
A
3
C
|
|
A
8
B
∴
A
C
C
B
=
A
A
3
A
3
A
8
=
3
X
5
X
=
3
5
Hence AC : CB = 3 : 5
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