Right Triangle Practice

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Question 1
Which of the following triangles are right triangles?

identify all the right triangles

Answer

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

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Step 1
For triangle I, there is no internal angle that is 90°. Hence, this is not a right triangle.
Triangle I is not a right triangle
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Step 2
As for triangle II, the angle at vertex A is 90°. Hence, this is a right triangle.
Triangle II is a right triangle
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Step 3
Now, as for triangle III, the 'square' below represents the angle 90°. Hence, this triangle is a right triangle.
Triangle III is a right triangle
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Step 4
For triangle IV, there is no angle that is 90°. Hence, this is not a right triangle.
Triangle IV is a not a right triangle
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Step 5
Clearly, only triangle II and III are right triangles. Therefore, the answer is B.
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