SOLUTION: the hypotenuse of a right triangle is 20 inches long,and one of its angles measures 45 degrees.what are the lengths of the other two sides of the triangle?in inches

Algebra.Com
Question 186611: the hypotenuse of a right triangle is 20 inches long,and one of its angles measures 45 degrees.what are the lengths of the other two sides of the triangle?in inches
Answer by uday1435(57)   (Show Source): You can put this solution on YOUR website!
A right triangle with 45 degrees will be an isosceles right triangle whose sides will be in the ratio 1: √2 : 1, where √2 is the hypotenuse.
Since the Hypotenuse is √2, the other two sides are 20/√2 = 10 √2 inches each.
If you want their lengths in decimals they will be 14.142 inches each

RELATED QUESTIONS

The area of a right triangle is 50. One of its angles is 45 degrees. What are the lengths (answered by math-vortex)
What are the lengths of the legs of a right triangle in which one acute angle measures... (answered by Alan3354)
what is the hypotenuse of a right triangle if the legs are each 20 inches... (answered by Alan3354)
The base of a 45-45 degrees right triangle measures 8 inches. Find the height and the... (answered by Alan3354)
The base of a 45-45 degrees right triangle measures 8 inches. Find the height and the... (answered by Alan3354)
One leg of a right triangle is 2 inches smaller than the hypotenuse. The other leg is 5... (answered by funmath)
One leg of a right triangle is 2 inches smaller than the hypotenuse. The other leg is 5... (answered by tutor_paul)
The hypotenuse of a right traingle measures 9 inches, and one of the acute angles measure (answered by nerdybill)
n a right triangle, if one angle is 45 degrees and the hypotenuse is 12cm long, how long... (answered by chndnbl)