In triangle LMN, angle L is a right angle and the length of LN is 9 and the length of LM is 9, find the tan M (round to nearest hundredth).

Question

In triangle LMN, angle L is a right angle and the length of LN is 9 and the length of LM is 9, find the tan M (round to nearest hundredth).

Answer 1

a² + b² = c²

9² + 9² = c²

81 + 81 = c²

162 = c²

c = 12.73

 

tanD = 12.73/9 = 1.41