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Figure Attached Along with Solution.
Step-by-step explanation:
Construct a triangle ABC in which BC = 6.3 cm, ∠B = 75° and AB + AC =9cm.
Given:
In ΔABC,
BC = 6.3cm
∠B = 75°
AB + AC = 9 cm.
Steps of Construction:
1) Draw the base BC = 6.3 cm.
2) At the point B, make an angle XBC = 75°.
3) Cut a line segment BD equal to AB + AC (= 9 cm) from the ray BX.
4) Join DC.
5) Make ∠DCY = ∠BDC BY Drawing the perpendicular Bisector of DC which meets BD at A.
6)Let CY intersect BX at A
Then ABC is the Required Triangle .
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