MathDB
Find the cosine

Source:

January 19, 2006
trigonometrygeometrytrig identitiesLaw of SinesLaw of Cosines

Problem Statement

The lengths of the sides of a triangle are consescutive integers, and the largest angle is twice the smallest angle. The cosine of the smallest angle is
(A) 34(B) 710(C) 23(D) 914(E) none of these\textbf {(A) } \frac 34 \qquad \textbf {(B) } \frac{7}{10} \qquad \textbf {(C) } \frac 23 \qquad \textbf {(D) } \frac{9}{14} \qquad \textbf {(E) } \text{none of these}