Find hypotenuse?

If If α=63° and a=9 in right triangle ABC, approximate the length of the hypotenuse to the nearest tenth.

1 Answer
Jan 19, 2018

#"Hypotenuse"~~10.1#

Explanation:

Let's say #a# is the side #BC#, and #alpha=/_CAB#

Using the sine rules #sinA/a=sinB/b#, we can find #b#.

#A=alpha#
#b="hypotenuse"#

#sin(63)/9=sin(90)/b#

#b=(9sin(90))/sin(63)=(9*1)/sin(63)=9/sin(63)~~10.1#