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If the length of the sides of a triangle are

different ,it is called scalene triangle.

Construction of a triangle when two of its sides and

the included angle are given

(SAS Triangle Construction)

The lengths of two sides of a The lengths of two sides of a triangle PQR where PR =5 cm,triangle PQR where PR =5 cm,

PQ=3 cm and the included angle PQ=3 cm and the included angle P=70P=7000

To construct a triangle with To construct a triangle with two given sides and the two given sides and the

includedincludedangle.angle.

We first draw a rough sketch We first draw a rough sketchof PQR and indicate the of PQR and indicate the

lengths of its sides and the lengths of its sides and the measure of the included angle.measure of the included angle.

From the ray PY, cut off From the ray PY, cut off line segment PQ of length line segment PQ of length

3cm.3cm.

Step:2

At P, draw an angle YPR of measure 700 using a protractor

Join QR.Join QR.Thus , PQR is the Thus , PQR is the

required triangle.required triangle.

The measures of to angles of The measures of to angles of a triangle, A=50a triangle, A=5000, B=70, B=7000

and the included side AB=4cm.and the included side AB=4cm.

To construct a triangle with two given angles and the included

side.

To construct a triangle with two given angles and the included

side.

At A, draw XAB =50At A, draw XAB =5000 using a using a protractorprotractor

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At B, draw YBA=70At B, draw YBA=700 0

using a protractorusing a protractor

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