MathDB

1

Part of 2005 ISI B.Stat Entrance Exam

Problems(1)

a,b,c form right angle triangle as well as 1/a,1/b,1/c

Source:

5/20/2012
Let a,ba,b and cc be the sides of a right angled triangle. Let θ\theta be the smallest angle of this triangle. If 1a,1b\frac{1}{a}, \frac{1}{b} and 1c\frac{1}{c} are also the sides of a right angled triangle then show that sin⁡θ=5−12\sin\theta=\frac{\sqrt{5}-1}{2}
trigonometrygeometry