To solve for BC, we can use the sine function. The sine of an angle in a right triangle is equal to the ratio of the length of the side opposite the angle to the length of the hypotenuse.
In this case, angle B is the right angle and angle C is 45°, so we can use the sine of angle C to find BC. Let's label the length of BC as x.
sin(C) = opposite/hypotenuse
sin(45°) = x/10ft
Using the fact that sin(45°) = √2/2, we can solve for x:
√2/2 = x/10ft
Cross-multiplying:
2x = 10ft * √2
2x = 10√2 ft
Dividing both sides by 2:
x = 5√2 ft
Therefore, the length of BC is 5√2 ft.
In triangle ABC, mc002-1.jpg is a right angle and mc002-2.jpg 45°
;. Find BC. If your answer is not an integer, leave it in simplest radical form. 10ft not drawn to be scale
1 answer
1 answer