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in the right triangle ABC mc=90, a=4, and sinA=1/2. what is the length of the hypotenuse?
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in the right triangle ABC mc=90, a=4, and sinA=1/2. what is the length of the hypotenuse?
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Mathematics
3 years
2021-09-02T23:08:42+00:00
2021-09-02T23:08:42+00:00 1 Answers
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Answer:
The length of the hypotenuse is 8 units
Step-by-step explanation:
Recall the notation SOH CAH TOA. This means that in aright angled triangle,
Sin A = a/c where a is the length of the opposite side and c is the length of the hypotenuse.
Given that sinA=1/2 and a = 4, the hypotenuse c
sin A = 4/c
1/2 = 4/c
cross multiply
c * 1 = 4 * 2
c = 8 units