CONSTRUCT A TRIANGLE ABC AB IS 30 ANGLE BAC IS 60 MEASURE AC AND CB

Can not. Need another angle or side. Maybe one angle is a right angle?

To construct a triangle ABC with AB = 30 and ∠BAC = 60 degrees, follow these steps:

Step 1: Draw a line segment AB of length 30 units. This will be the base of the triangle.

Step 2: Place the compass point on point A and draw an arc that intersects the line segment AB. This arc will be the possible locations of point C, such that AC is the desired length.

Step 3: Without changing the compass width, place the compass point on point B and draw another arc that intersects the previous arc. Label this point of intersection as C.

Step 4: Connect points A and C to complete the triangle. This line segment AC is the desired length.

Step 5: To find the length of segment CB, measure the length of line segment AC using a ruler. The ruler should be aligned with points A and C to get an accurate measurement. The measured length of AC is the length of segment CB.

Following these steps, you have constructed triangle ABC with AB = 30 and ∠BAC = 60 degrees, and you have found the lengths of AC and CB.

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