CONSTRUCTION OF TRIANGLES ITS PROPERTIES

1
.
WELCOME
THE
TO
MATHS PROJECT
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CONSTRUCTION OF
TRIANGLES AND ITS
PROPERTIES
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SUBMITED BYS
SUBMITED BY
ASWATHY.P ASWATHY.S INDHUBALA.B.A SARASWATHY.U
S.T.D 10.A
GOVT.GRILS.HIGH.SCHOOL CHALAI
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If the length of the sides of a
triangle are different ,it is called scalene
triangle.
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Construction of a triangle when two of its
sides and the included angle are
given(SAS Triangle Construction)
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The lengths of two sides of a triangle PQR where
PR 5 cm,PQ3 cm and the included angle P700
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To construct a triangle with two given sides
and the includedangle. We first draw a rough
sketchof PQR and indicate the lengths of its
sides and the measure of the included angle.



P
0
3CM
70
5CM
R
Q
8

Step1
Draw a line segment PR of length 5 cm

P
R
.
.
5CM
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From the ray PY, cut off line
segment PQ of length 3cm.
STEP3
Y
y
Q
Q
.
0
0
70
70
R
P
P
R
3CM
5CM
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Step2 At P, draw an angle YPR of measure 700
using a protractor


Y
0
70
P
R
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Join QR.Thus , PQR is the required
triangle.
step4
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The measures of to angles of a triangle,
A500, B700and the included side AB4cm.
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To construct a triangle with two given angles
and the includedside.
To construct a triangle with two given angles
and the includedside.
A
0
50
4CM
o
70
B
C
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STEP1
Draw a line segment AB of length 4cm
A
B
4cm
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At A, draw XAB 500
using a protractor 00
STEP2
X
50
A
B
4CM
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.At B, draw YBA700 using a
protractor
STEP 3
4CM
X
Y
.
.
.
.
X
Y
0
0
0
0
50
50
70
70
A
A
B
B
4CM
4CM
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.
Let AX and BY intersect at C
Thus, ABC is the required
triangle.
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GUIDED BY
Smt
G.KUMARI SREEDEVI