drawing triangles

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May 23, 2022 Drawing triangles and other shapes Next 1. Drawing triangles

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Page 1: Drawing triangles

April 10, 2023

Drawing triangles and other shapes

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1. Drawing triangles

Page 2: Drawing triangles

April 10, 2023

NextMore

The angle of 40º is called the included angle, as it lies between the two lines of which you know the length.

A B15cm

20cm

40º

CSometimes you are asked to make an accurate drawing of a sketch such as this…You need a pencil, a protractor and a ruler.

Draw and label line A to B , using your ruler.Using a protractor, mark a point at 40º to this line.Using your ruler, draw a line from point A, through the point at 40º.Mark the point 20cm along this line and label it point C.Draw a line joining point B to C, using your ruler.Label the 40º angle and the line AC.

A B15cm

20cm

40º

C

Explanation

Page 3: Drawing triangles

April 10, 2023

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The completed triangle.Draw a line longer than PQ.Measure the angle 28º at Q.

12 cm

R

P Q28º35º

Sometimes you are given one side and two angles, like this…

P Q12cm

35º

R

28ºAgain you need a pencil, a protractor and a ruler.Draw and label the line PQ.Measure the angle 35º at P.Draw the line QR.

Explanation

Page 4: Drawing triangles

April 10, 2023

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9 cm13 cm

14 cm

Construct a triangle ABC with AB = 14 cm, AC 9 cm and BC = 13 cm.

A B

C

ExplanationYou may be given the length of three sides, but no angles.

This time you will need a pencil, a ruler and a pair of compasses.

Page 5: Drawing triangles

April 10, 2023

Z

You may be given two sides and a non-included angle. That is an angle not between the two known sides.

X Y8.6cm

60º

Z

10cm

8.6 cmX60º

Y

10 cm10 cm

Draw the line XY.Measure the angle 60º from X.Draw a line longer than XY.Draw an arc with radius 10 cm from Y.Where the arc crosses the line is Z.Join Y to Z.The completed triangle.

Explanation

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