Question

Right triangle ABC has three sides with lengths AB= 119, BC = 169, CA= 120. Find the value of cos C. hint: draw and label the triangle. The hypotenuse is always the longest.

Answer 1

`\cos(C)=(120)/(169)`

Explanation:

The triangle is shown in the attachment.

Recall that;

`\cos(C)=(Adjacent)/(Hypotenuse)`

This implies that;

`\cos(C)=(|AC|)/(|BC|)`

We substitute the values into the ratio to obtain

`\cos(C)=(120)/(169)`