A, B & C form the vertices of a triangle.

CAB = 90°,

ABC = 67° and AB = 8.6.
Calculate the length of AC rounded to 3 SF.

Respuesta :

The length of side AC in the triangle with vertices at A, B, C is 20.3 units.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Sine rule is used to show the relationship between the sides and angles of a triangle. From triangle ABC:

∠CAB = 90°,

∠ABC = 67° and AB = 8.6.

∠CAB + ∠ABC + ∠BCA = 180 (sum of angle in triangle)

∠BCA + 90 + 67 = 180

∠BCA = 23 degrees

Using sine rule:

8.6/sin(23) = AC / sin(67)

AC = 20.3

The length of side AC in the triangle with vertices at A, B, C is 20.3 units.

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