In triangle ABC, A is a right angle, and m b=45 degrees.
What is the length of BC? If your answer is not an integer, leave it in simplest radical form.
a. 16 ft
b. 16 sq 2 ft
c. 16 sq 3 ft
d. 32 ft
I'm really confused as to how to do this... Could someone please explain and show me how to enter the whole calculation into my calculator? I don't really know how to make the whole sin thing plug in the correct ways and where to put my numbers. Thanks!!
since the acute angles are 45°, the two legs are both 16 (a fact you left out)
so, the hypotenuse is
√(16^2 + 16^2) = 16√2
they changed the answer for me its the same thing but its 12 ft
Ok thank you!!
they changed the answer for me it's the same thing but its 14 ft
Does anyone know how to do the same thing but with 14ft?
In triangle ABC, 4A is a right angle, and m<B = 45°.
Angle (14 ft)
A. 14 √2 ft *Correct*
B. 28 ft
C. 14 √3 ft
D. 14 ft
To find the length of BC in triangle ABC, we can use the sine function.
First, let's label the given information:
- Angle A is a right angle, meaning it's 90 degrees.
- Angle B is 45 degrees.
Now, let's determine which sides of the triangle these angles refer to. In triangle ABC, A is the right angle, so it refers to the side opposite to it, which is BC. Angle B refers to the side adjacent to it, which is AB.
To use the sine function, we will work with the ratio of the length of the opposite side to the length of the hypotenuse. The hypotenuse is the longest side of a right triangle and is the side opposite the right angle.
We can set up the equation:
sin(B) = opposite / hypotenuse
Plugging in the known values:
sin(45) = BC / AB
Now, we need the length of AB to solve for BC. Unfortunately, it is not provided in the question. Without the length of AB, we cannot calculate BC using the given information.
Therefore, without additional information, we cannot determine the length of BC. We need either the length of AB or another angle-side measurement to apply trigonometric principles and find the length of BC.
Unfortunately, the calculator won't be able to solve this without more information either.