Lesson 1, Topic 2
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# Scale Drawing

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#### Topic Content:

• Scale Drawing

### Example 1.2.1:

The diagram below shows a right-angled triangle

1. Using a ruler and protractor only and a scale of 1 cm to 5 cm
a. Draw the triangle.
b. Find the actual length of the hypotenuse $$\scriptsize BC$$.
c. Measure the two remaining angles.

2. Using calculations and the scaled triangle;
a. Find the actual length of the hypotenuse $$\scriptsize BC$$.
b. Calculate the remaining two angles.

Solution

1. a. Using a scale of 1 cm to 5 cm, draw the triangle

Scale = 1 cm to 5 cm = $$\frac{1\:cm}{ 5\:cm} \\ = \frac{1}{5}$$

$$\scriptsize AB = 40 \: cm$$

On scale drawing, $$\scriptsize AB = 40 \; \times \; \normalsize \frac {1}{5} \\ = \scriptsize 8 \: cm$$

$$\scriptsize AC = 40 \: cm$$

On scale drawing, $$\scriptsize AC = 35 \; \times \; \normalsize \frac {1}{5} \\ = \scriptsize 7 cm$$

Draw a triangle with AB = 8 cm and AC = 7 cm

Step 1: Draw AC (AC = 7 cm )

Step 2: Draw AB (AB = 8 cm )

Step 3: Complete the Triangle by drawing line $$\scriptsize BC$$

1. b. Find the actual length of the hypotenuse BC.

Step 4: Measure $$\scriptsize \bar{BC} \\ \scriptsize ⇒ BC = 10.6 \: cm$$

1. c. Measure the two remaining angles

Step 5: Using a protractor, Measure ∠ACB

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