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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

In triangle ABC, <A is a right angle, and m<B = 45  °. What is the length of-example-1
User Sqoo
by
7.7k points

2 Answers

1 vote
I believe it would be A

User Broo
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8.4k points
2 votes
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
User Nclark
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7.9k points

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