Answered

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Determine whether each triangle below will form a unique triangle, no triangle, or more than one triangle based on the criterion given.



Part A:

A triangle with 5 cm and 7 cm side lengths and an included 50∘ angle will form
.



Part B:

A triangle with side lengths 3 inches, 2 inches, and 1 inch will form
.



Part C:

A triangle with angle measures of 72°, 24°, and 84∘ will form

Sagot :

sqdancefan

9514 1404 393

Answer:

  A: a unique triangle

  B: no triangle

  C: more than one triangle

Step-by-step explanation:

A: Two sides and the included angle are sufficient to completely specify one triangle. (See the first attachment.)

__

B: The given side lengths do not satisfy the triangle inequality. No triangle can be formed. (See the second attachment.)

__

C: The angles total 180°, so a triangle can be formed with those angles. However, the side lengths are not specified, so any number of triangles can be made with those angles.

View image sqdancefan
View image sqdancefan
akbusiness987

Answer:

A. a unique triangle

B. no triangle

C. more than one triangle

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