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Which of the following measures would create an infinite number of triangles?

three angles: 62°, 34°, and 84°
three sides: 3 cm, 5 cm, and 10 cm
two sides of 4 cm and 7 cm with an angle of 54° between them
three sides: 3 cm, 5 cm, and 7 cm

User Aace
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1 Answer

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Answer:

(a) three angles: 62°, 34°, and 84°

Explanation:

You want to know which specification can result in an infinite number of triangles.

Angles only

If only the angles are specified, the sides can have an infinite number of (related) lengths.

three angles: 62°, 34°, and 84° will create an infinite number of triangles

Sides only

Assuming the side lengths can form a triangle, they will specify exactly one triangle.

Lengths 3 cm, 5 cm, and 10 cm cannot form a triangle.

Sides and angle between

When two sides are specified along with the angle between them, exactly one triangle can be formed.

User Apocalypse
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