Question

8. In AABC, LA is a right angle and mzB = 45°. Find BC.

11√2 ft
√22 ft
2√11 ft
11 ft

Answer 1

BC = 11
`√(2)`

Explanation:

using the sine ratio in the right triangle and the exact value

sin45° =
`(1)/(√(2) )` , then

sin 45° =
`(opposite)/(hypotenuse)` =
`(AC)/(BC)` =
`(11)/(BC)` =
`(1)/(√(2) )` ( cross- multiply )

BC = 11
`√(2)`