Name: Parallel Lines
Uploaded: 2019-07-19
Duration: 4 min 16 s
Description: Almost everyone has travelled by train at least once. Have you ever observed that the tracks never meet? This is because they are parallel to each other. Wat...

Question

Draw two arms of an angle at $60 °$ whose arms lengths are $5 cm$ and $6 cm$ and divide the arms into $10$ equal parts.

Accepted Answer

We need to draw an angle measuring $60 °$ whose arm lengths are $5 cm$ and $6 cm$ and divide the arms into $10$ equal parts.

Steps of construction:

$1 .$ Draw $A B = 6 cm$ .

$2 .$ At point $A$ , make an angle of $60 °$ , so that $∠ B A X = 60 °$ .

$3 .$ With $A$ as centre, draw an arc of radius $5 cm$ intersecting $A X$ at $C$ .

$4 .$ Draw $10$ equal divisions between $A$ and $C$ such that each division measures $\frac{5}{10} cm$ which is $0.5 cm$ . The divisions are named as $C_{1}, C_{2}, . . ., C_{9}$ .

$5 .$ Join $B C$ and draw lines from $C_{1}$ to $C_{9}$ which are parallel to $B C$ meeting $A B$ at $A_{1}, A_{2}, . . . ., A_{9}$ .

Hence, the arms of $∠ C A B$ are divided into the required $10$ equal parts.

Jose Paul Solutions for Chapter: Parallel Lines, Exercise 4: Worksheet

Jose Paul Mathematics Solutions for Exercise - Jose Paul Solutions for Chapter: Parallel Lines, Exercise 4: Worksheet

Questions from Jose Paul Solutions for Chapter: Parallel Lines, Exercise 4: Worksheet with Hints & Solutions

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