Maths · Straight line: Various forms of equations of a line, intersection of lines, angles between two lines
For constructing a triangle whose perimeter and both base angles are given, the
For constructing a triangle whose perimeter and both base angles are given, the first step is to:
- A. Draw a base of any length
- B. Draw the base of length = perimeter
- C. Draw the base angles from a random line.
- D. Draw a base of length \( =\frac{1}{3} \times \) perimeter.
Step-by-step solution
To construct a triangle given its perimeter and both base angles, the first step is to draw a line segment equal to the given perimeter. This segment serves as the base for subsequent constructions: at its endpoints, the given base angles are drawn, and then the angle bisectors or other constructions are used to locate the third vertex.
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