construct a triangle having perimeter and it's basic angle are 60 and 45 degree
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We have to construct a triangle with perimeter 6.4 cm and with basic angles 60∘ and 45∘.
Draw a line segment PQ of length 6.4 cm using a scale.
1. Draw a line segment XY of 6.4cm.
2. Draw ∠DXY = B = 60o and ∠EYX =∠C = 45o 3. Draw the angle bisector of ∠DXY and ∠EYX which interest each other at A.
4. Draw the perpendicular bisector of AX and AY which interest XY at B and C respectively.
5. Join AB and AC
Therefore ΔABC is the required triangle.
Now, we will draw the angle bisector of ∠XPQ by first marking points S and T. Then by taking S and T as centers, draw an arc.
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