# Smallest angle of right-triangle.

• March 22nd 2011, 05:15 AM
soukaein
Smallest angle of right-triangle.
I don't even have an idea on how to start.AIks..

The perimeter of a right angled triangle is n times of the length of its shortest side. Show that the smallest angle θ of the triangle satisfies the equation.
1+ cosθ=(n-1) sinθ
• March 22nd 2011, 10:04 AM
running-gag
Hi

Let x be the length of the hypotenuse and $\theta$ one of the acute angles of the rectangle
What are the lengths of the 2 other sides ?
What is the perimeter ?
Write that the perimeter is n times of the length of the shortest side
• March 22nd 2011, 03:53 PM
soukaein
Oh yes!!! Thank you so much!!
Now i know its that easy!><