# SUBMIT ## Question 4 of 10 Multiple Choice: Please select the best answer and click "submit." What is the length of the hypotenuse of the triangle below? O A 3 O B 3.42 O C 6 O D 1 O E 9.42 O F 6.42
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Answer

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Step 1:
Let's solve this step by step using the Pythagorean theorem.

Step 2:
: Identify the given triangle's sides

- The horizontal side (base) is 3 units long - The vertical side (height) is 6 units long

Step 3:
: Apply the Pythagorean theorem

The Pythagorean theorem states that in a right triangle, $$a^{2} + b^{2} = c^{2}$$, where $$c$$ is the length of the hypotenuse.

Step 4:
: Calculate the hypotenuse length

c = 6.71
c^{2} = 9 + 36

Step 5:
: Compare the calculated value to the given options

The closest value is 6.42.

Final Answer

Note: The actual calculated value is closer to 6.71, but among the given options, B (3.42) is the closest match.