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.
1 answer:
Answer:
The student answer is wrong. The correct length of the hypotenuse is 12
Step-by-step explanation:
The question is incomplete without diagram. Find the diagram attached below.
The longest side of the right angled triangle is the hypotenuse.
The side facing the angle 30° is the opposite side of the triangle.
To find the hypotenuse, we will use the SOH CAH TOA method in trigonometry identity.
According to SOH:
Sin30° = Opposite/Hypoenuse
Sin30° = 6/Hypotenuse
Hypotenuse = 6/sin30°
Hypotenuse = 6/0.5
Hypotenuse = 6×2
Hypotenuse = 12
The student answer is wrong. The correct length of the hypotenuse is 12
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