Arrange the steps to construct a △ABC where BC and sum of sides AB+AC and ∠B is given:
A
Mark D as AB+AC
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B
Draw line BC
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C
Join point D & C
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D
Construct ∠B
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E
Bisect a ⊥ to DC
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Solution
The steps to construct a triangle. When one side and sum of other two sides and an included angle is given are: 1. Draw the line segment of given length using ruler.
2. Construct the given included angle to the point and draw a line through it.
3. Mark the point measuring sum of side’s length on the line drawn above.
4. Join the marked point with the 3rd point.
5. Draw a perpendicular bisector for the above line.
and at last
6. Where the perpendicular bisector cuts the sum of side line mark that point, and join with the 3rd point.