Hinge theorem states that if two triangles have:Question 24Select one:a.two congruent sides, then the triangle with the larger included angle between those sides will have the longer third side.b.no congruent sides, then the two triangles are congruent.c.two congruent sides, then the triangle with the smaller included angle between those sides will have the longer third side
Question
Hinge theorem states that if two triangles have:Question 24Select one:a.two congruent sides, then the triangle with the larger included angle between those sides will have the longer third side.b.no congruent sides, then the two triangles are congruent.c.two congruent sides, then the triangle with the smaller included angle between those sides will have the longer third side
Solution
The correct answer is:
a. two congruent sides, then the triangle with the larger included angle between those sides will have the longer third side.
This is the statement of the Hinge Theorem. It states that if two sides of one triangle are congruent to two sides of another triangle, and the included angle of the first is larger than the included angle of the second, then the third side of the first triangle is longer than the third side of the second triangle.
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