Scalene Triangle Practice

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Question 1
Which of the following triangles are scalene triangles?

identify all the scalene triangles

Answer

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A. I & III
B. I & IV
C. II & III
D. II & IV
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Step by Step Solution 

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Step 1
For triangle I, it has three sides of unequal lengths. Hence, it is a scalene triangle.
Triangle I is a scalene triangle
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Step 2
As for triangle II, it is not a scalene triangle. This is because two of its sides have the same length (9.3cm).
Triangle II is not a scalene triangle
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Step 3
As for triangle III, all of its internal angles are different. Therefore, it is a scalene triangle.
Triangle III is a scalene triangle
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Step 4
For triangle IV, its internal angles are 60° each. This means that all the sides of the triangle have the same length. Hence, this is not a scalene triangle.
Triangle IV is not a scalene triangle
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Step 5
Clearly, only triangle I and III are scalene triangles. Therefore, the answer is A.
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