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In triangle ABC, <A is a right angle, and m<B = 45 °. What is the length of BC? If your answer is not an integer, leave it in simplest radical form. A. 14√(2) ft B. 28 ft C. 14 √(3) ft D. 14 ft
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Aug 5, 2019
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In triangle ABC, <A is a right angle, and m<B = 45
°.
What is the length of BC? If your answer is not an integer, leave it in simplest radical form.
A. 14
ft
B. 28 ft
C. 14
ft
D. 14 ft
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Sqoo
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I believe it would be A
Broo
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Aug 7, 2019
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Broo
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1. The lenght BC is the hypotenuse of the triangle and to find its value, we must apply:
Sin(α)=opposite leg/hypotenuse
The opposite leg is14 ft.
The hypotenuse is BC.
The Angle "α" is 45°.
2. Let's substitute in the formula:
Sin(α)=opposite leg/hypotenuse
Sin(45°)=14/BC
3. When we clear BC, we obtain:
BCxSin(45°)=14
BC=14/Sin(45°)
4. Then, the result is:
BC= 14√2 ft
5. What is the length of BC?
The answer is: The length of BC is 14√2 ft
Nclark
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Aug 10, 2019
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Nclark
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