Question

1. A triangle with the sides: 6 mm, 7 mm, and 5 mm.

a
unique triangle
b
more than one triangle
c
no triangle possible

2. A triangle with the angles: 24°, 29°, and 127°.

a
unique triangle
b
more than one triangle
c
no triangle possible

3. A triangle with the sides: 7 in, 3 in, and 10 in.

a
unique triangle
b
more than one triangle
c
no triangle possible

Answer 1

9514 1404 393

Answer:

1. (a) unique triangle
2. (b) more than one triangle
3. (c) no triangle possible

Explanation:

1. Three sides lengths uniquely specify a triangle.

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2. Three angle measures specify the shape of a triangle, but not its size. More than one triangle is possible with any given set of angle measures.

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3. If the lengths do not satisfy 3 + 7 > 10, which they do not, then no triangle can be formed.