Question

Use the diagram to complete the statement.
(Geometry)

Answer 1

BC = 4
`√(2)`

Explanation:

Δ BCG is a right triangle with ∠ CGB = 90°

using the sine ratio in Δ BCG with the exact value

• sin45° =
`(1)/(√(2) )`

Then given ∠ CBG = 45°

sin45° =
`(opposite)/(hypotenuse)` =
`(CG)/(BC)` =
`(4)/(BC)` =
`(1)/(√(2) )` ( cross- multiply )

BC = 4
`√(2)`