Solve the oblique triangle where side a has length 10 cm, side c has length 12 cm, and angle beta has measure thirty degrees. Round all answers using one decimal place.

Step-by-step explanation:

Given

Let the three sides be represented with A, B, C

Let the angles be represented with

[See Attachment for Triangle]

What the question is to calculate the third length (Side B) and the other 2 angles ()

Solving for Side B;

When two angles of a triangle are known, the third side is calculated as thus;

Substitute: ,  ;

Take Square root of both sides

(Approximated)

Calculating Angle

Substitute: ,  ;

Subtract 180 from both sides

Divide both sides by -144

Take arccos of both sides

(Approximated)

Calculating

Sum of angles in a triangle = 180

Hence;

Make the subject of formula

d

step-by-step explanation: