In which of the following cases can a triangle be constructed?
(a) Measures of three sides are given.
(b) Measures of two sides and an included angle are given
(c) Measures of two angles and the side between them are given.
(d) All the above.
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Answer:
(d) All the above.
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In all the above of the following cases can a triangle be constructed.
- When the measures of three sides are given of a triangle are given, first, the base is drawn. Then, the other two sides can be drawn by intersecting the arcs with a compass.
- When the measures of two sides and an included angle are given, the two lines with the angle are drawn and then the two lines are joined to form the third side.
- When the measures of two angles and the side between them are given, the angles are made by taking the side as the base and the triangle is constructed.
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