Construct the triangle CAB with angle CAB 60 degree with AB 8cm and AC 9cm
<CAB = 60
c = 8
b = 9
law of cosines
a^2 = b^2+c^2 - 2 bc cos 60
a^2 = 81 + 64 - 72(1/2)
a^2 = 109
a = 10.44
then use law of sines to find other two angles
To construct triangle CAB with angle CAB measuring 60 degrees, and sides AB measuring 8cm and AC measuring 9cm, follow these steps:
1. Take a ruler and draw a straight line segment XY of any convenient length using a pencil on a piece of paper. This will be the base line for the triangle.
2. At point X, use the ruler to measure and mark a point A, which will be the starting point of the triangle.
3. Using the protractor, draw a ray from point A on the same side as point Y at an angle of 60 degrees, intersecting the base line XY at point B. Label point B.
4. Using the ruler, measure a distance of 8cm from point A and mark a point C on the ray. Label point C.
5. Connect points B and C with a straight line segment to complete the triangle CAB.
Now, you have successfully constructed triangle CAB with angle CAB measuring 60 degrees, side AB measuring 8cm, and side AC measuring 9cm.