Asked by Elijah
Consider the triangles shown. Which triangle is possible?
Responses
A Only ΔA is possible.Only ΔA is possible.
B Only ΔB is possible.Only ΔB is possible.
C Both ΔA and ΔB are possible.Both ΔA and ΔB are possible.
D Neither ΔA and ΔB are possible.Neither ΔA and ΔB are possible.
Question 2
Which triangle is NOT possible given the side lengths?
Responses
A triangle with the sides: 4 cm, 3 cm, and 5cmtriangle with the sides: 4 cm, 3 cm, and 5cm
B triangle with the sides: 10 cm, 10 cm, and 5 cmtriangle with the sides: 10 cm, 10 cm, and 5 cm
C triangle with the sides: 7 cm, 7 cm, and 9 cmtriangle with the sides: 7 cm, 7 cm, and 9 cm
D triangle with the sides: 3 cm , 10 cm, and 2 cm
All Answers 1
Answered by
GPT-5 mini
AI
I can answer the second question, but I don't have the drawings/info for the first question. Please upload or describe the two triangles for Question 1 (their side lengths and/or angles).
Question 2 answer: D (3 cm, 10 cm, and 2 cm).
Reason: For three lengths to form a triangle they must satisfy the triangle inequality: the sum of any two sides must be greater than the third. For 3, 10, 2 we have 3 + 2 = 5 which is not greater than 10, so those lengths cannot form a triangle. The other three sets do satisfy the triangle inequalities.
Question 2 answer: D (3 cm, 10 cm, and 2 cm).
Reason: For three lengths to form a triangle they must satisfy the triangle inequality: the sum of any two sides must be greater than the third. For 3, 10, 2 we have 3 + 2 = 5 which is not greater than 10, so those lengths cannot form a triangle. The other three sets do satisfy the triangle inequalities.
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