# 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 .)

#### Questions & Answers

where we get a research paper on Nano chemistry....?
what are the products of Nano chemistry?
There are lots of products of nano chemistry... Like nano coatings.....carbon fiber.. And lots of others..
learn
Even nanotechnology is pretty much all about chemistry... Its the chemistry on quantum or atomic level
learn
da
no nanotechnology is also a part of physics and maths it requires angle formulas and some pressure regarding concepts
Bhagvanji
Preparation and Applications of Nanomaterial for Drug Delivery
revolt
da
Application of nanotechnology in medicine
what is variations in raman spectra for nanomaterials
I only see partial conversation and what's the question here!
what about nanotechnology for water purification
please someone correct me if I'm wrong but I think one can use nanoparticles, specially silver nanoparticles for water treatment.
Damian
yes that's correct
Professor
I think
Professor
Nasa has use it in the 60's, copper as water purification in the moon travel.
Alexandre
nanocopper obvius
Alexandre
what is the stm
is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.?
Rafiq
industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
Damian
How we are making nano material?
what is a peer
What is meant by 'nano scale'?
What is STMs full form?
LITNING
scanning tunneling microscope
Sahil
how nano science is used for hydrophobicity
Santosh
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest. Rafiq
Rafiq
what is differents between GO and RGO?
Mahi
what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.? How this robot is carried to required site of body cell.? what will be the carrier material and how can be detected that correct delivery of drug is done Rafiq
Rafiq
if virus is killing to make ARTIFICIAL DNA OF GRAPHENE FOR KILLED THE VIRUS .THIS IS OUR ASSUMPTION
Anam
analytical skills graphene is prepared to kill any type viruses .
Anam
Any one who tell me about Preparation and application of Nanomaterial for drug Delivery
Hafiz
what is Nano technology ?
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
Damian
Is there any normative that regulates the use of silver nanoparticles?
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
why we need to study biomolecules, molecular biology in nanotechnology?
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
why?
what school?
Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
how did you get the value of 2000N.What calculations are needed to arrive at it
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