# 3.2 Construct different types of triangles

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## [lo 3.4, 3.5, 4.7]

1. Drawing an angle:Requirements: pencil, ruler, protractor.

1.1 Always begin by drawing a base line.

1.2 Make a mark, e.g. on the left, and position the protractor on the mark.

1.4 In the case of an angle that is larger than 180°, the relevant angle size must be deducted from 360° before it is drawn. The angle around the outside (the reflex angle) is the angle that you will have to draw.

E.g. 320°: (360° – 320° = 40°). Draw a 40°angle. The reflex angle now represents the 320°.

2. Construct the following angles and name each one:

• A $\stackrel{ˆ}{B}$ C = 75°

Type of angle:

2.2 C $\stackrel{ˆ}{D}$ E = 135°

Type of angle:

2.3 F $\stackrel{ˆ}{G}$ H = 215°

Type of angle:

3. Constructing a triangle:

Requirements: pencil, ruler, protractor and pair of compasses.

• Always begin by making a rough sketch.
• Then use one of the sides of which the length is provided as a base.
• E.g. construct $\Delta$ ABC with BC = 40 mm, $\stackrel{ˆ}{B}$ = 70° and $\stackrel{ˆ}{C}$ = 50°.

Rough sketch:

• To measure a lateral length accurately, you must measure the length on you ruler with the help of a pair of compasses. Then the compass point must be positioned on B and the position of C must be indicated with a pencil mark.
• Construction:

4. Construct each of the following triangles:

4.2 $\Delta$ PQR with QR = 58 mm, P $\stackrel{ˆ}{Q}$ R = 62° and Q $\stackrel{ˆ}{P}$ R = 69°.

Measure:

1. PQ = mm
2. $\stackrel{ˆ}{R}$ =

4.2 Isosceles $\Delta$ ABC with BC = 42 mm, AB = AC and $\stackrel{ˆ}{B}$ = 63°.

Measure:

a) PQ = mm

## [lo 3.4, 3.5, 4.7]

1. Bisecting a given line AB :
• Measuring line segment AB (e.g. 40 mm).
• Using a pair of compasses, measure slightly more than half of the line(i.e. ± 22-25 mm).
• Position the point of the pair of compasses on A and make a pencil stroke below and above the line.
• Position the point of the compasses on B and draw another pencil stroke above and below the line.
• Connect the intersections of the pencil strokes.
• Name the point on line AB , P. P is the centre of line AB .

2. Now try the following:

• Draw line segment PQ = 70 mm.
• Bisecting line segment PQ , as in nr. 1 explained.

3. Bisect π ABC :

• Place the point of the pair of compasses on B .
• Draw an arc of any size as indicated.
• Position the point of the compass on the point where the two lines intersect and draw pencil lines inside the angle.
• Position the point of the compass on the other point of intersection and draw a line inside the angle, so that the two lines intersect.
• Connect $\stackrel{ˆ}{B}$ (angle B ) with the point where your pencil lines intersect.
• $\stackrel{ˆ}{B}$ 1 will have the same size as $\stackrel{ˆ}{B}$ 2 . Measure both angles. Are they equal?

4. Try the following:

• Draw D $\stackrel{ˆ}{E}$ F = 125°.
• Bisect D $\stackrel{ˆ}{E}$ F .

## [lo 3.4, 3.5, 4.7]

1. Construct AD  BC .

• Place your compass point on A (you want to draw a perpendicular line on BC from A.)
• Make an arc on BC .
• Place the point of your compasses on the one point of intersection between the arc and BC. Draw a line below BC. Place the point of your compasses on the other point of intersection between the arc and BC and draw another line below BC , so that the two lines intersect.
• Connect A with the intersection of the two drawn lines.
• Mark the point of intersection D .
• AD will be perpendicular to BC . ( AD  BC .)

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write examples of Nano molecule?
Bob
The nanotechnology is as new science, to scale nanometric
brayan
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
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research.net
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sciencedirect big data base
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Introduction about quantum dots in nanotechnology
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what is the actual application of fullerenes nowadays?
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so some one know about replacing silicon atom with phosphorous in semiconductors device?
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Do you know which machine is used to that process?
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how to fabricate graphene ink ?
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What is lattice structure?
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Ebrahim
or in general
Ebrahim
in general
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Graphene has a hexagonal structure
tahir
On having this app for quite a bit time, Haven't realised there's a chat room in it.
Cied
how did you get the value of 2000N.What calculations are needed to arrive at it
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