10
AssignmentMultiple Choice

Constructing Triangles

Question 10 • FL-1205040-M/J Grade 7 Mathematics B -GF

Which dimensions will create an unlimited number of triangles?

Answer
A
angle 55ºangle 50ºangle 60º
B
angle 45ºangle 45ºangle 90º
C
side length of 6side length of 8side length of 10
D
side length of 5 in.side length of 10 in. side length of 12 in.

Explanation

The three angles in choice B add to 180° (45° + 45° + 90°), so they form a triangle. Knowing only the angles fixes the triangle’s shape, not its size, so it can be enlarged or reduced to make infinitely many triangles. Choice A’s angles do not add to 180°, and choices C and D give fixed side lengths.

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