102k views
2 votes
Can someone help me with this

Which of the following combinations would result in multiple triangles? SHOW WORK

A: 45 degrees, 82 degrees, 53 degrees

B: 5 degrees, 122 degrees, 61 degrees

C: 2 cm, 8 cm, 10 cm

D: 10 in, 20 in, 75 degrees

Can someone help me with this Which of the following combinations would result in-example-1
User Mlykotom
by
8.2k points

1 Answer

4 votes

Answer: Options 2 and 4

Explanation:

Option 1: The angles add to
180^(\circ), so the angles can form a triangle. However, because there are no side lengths, the triangle is only defined up to similarity.

Option 2: The angles do not add to
180^(\circ), so a triangle cannot be formed.

Option 3: The side lengths do not satisfy the triangle inequality, so a triangle cannot be formed.

Option 4: It is not specified what side the
75^(\circ) is opposite of, so multiple triangles can be formed.

User Huntley
by
7.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.