Wendy described four triangles as shown below: Triangle A: All sides have length 9 cm. Triangle B: Two sides have length 10 cm,

Question

3 years ago

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Wendy described four triangles as shown below: Triangle A: All sides have length 9 cm. Triangle B: Two sides have length 10 cm,

and the included angle measures 60°. Triangle C: Two angles measure 50°. Triangle D: Base has length 8 cm, and base angles measure 45°. Which triangle is not a unique triangle? Triangle A Triangle B Triangle C Triangle D

Mathematics

1 answer:

liq [111] · Answer 1 · 2022-10-12T11:14:59+03:00

Answer:

Triangle C

Step-by-step explanation:

Triangle A: All sides have length 9 cm.

By SSS this is a unique triangle.

Triangle B: Two sides have length 10 cm, and the included angle measures 60°.

By SAS this is a unique triangle.

Triangle C: Two angles measure 50°.

This gives us at most SS Similarity, so we do not have a unique triangle. The triangle sides can be any length. This is not unique.

Triangle D: Base has length 8 cm, and base angles measure 45°. Which triangle is not a unique triangle?

This gives us ASA, so we have a unique triangle.

Answer: Triangle C