Question

If the cos of angle x is 5 over 8 and the triangle is dilated to be three times as big as the original, what would be the value of the cos of x for the dilated triangle?

a. 15 over 24
b. 10 over 16
c. 5 over 8
d. The cos value cannot be determined for the dilated triangle.

Answer 1

Even though we triple the lengths of the sides of the original triangle, we do not change the value of the cosine of the angle x, because the ratio "adj / hyp" remains the same (5/8).