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Alex777 [14]
3 years ago
9

Based on the diagram above, a student determined the hypotenuse of the triangle to be 6√3 Determine if the student's answer is c

orrect. If it is not correct, find the correct length.
A. Yes, the student's answer is correct.

B. No, the hypotenuse should be 12√3

C. No, the hypotenuse should be 6√2

D. No, the hypotenuse should be 12.

Mathematics
1 answer:
Anarel [89]3 years ago
3 0

Answer:

D) No, the hypotenuse should be 12.

Step-by-step explanation:

<em>Hypotenuse is the side opposite to the 90 degrees angle.</em>

<em>'6' is the opposite side to the given angle i.e. it is opposite from angle 30 degrees.</em>

<em>Step 1: Use the sin formula to find the hypotenuse.</em>

Sin (angle) = opposite/hypotenuse

<em>Step 2: Substitute the values in the formula</em>

Sin (30) = 6/hypotenuse

1/2 = 6/hypotenuse

hypotenuse = 6x2

hypotenuse = 12

Therefore, the answer is option D; No, the hypotenuse should be 12.

!!

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