How do i solve for a right triangle?

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1 Answer
Serena D.
Mar 22, 2018

Angle F is 27 degrees
#DF~~8.0#
#DE~~4.1#

Explanation:

A triangle's angle measures add up to 180 degrees; two of the angles are 90 and 63 degrees, the third must add up to 180 with 90 and 63.

#180-90-63=27 rarr# Angle F is 27 degrees

Law of sines: #a/sinA=b/sinB=c/sinC#, where c is the length of the hypotenuse, C is the right angle (opposite the hypotenuse), and a and b are the legs, A and B are the legs' respective opposite angles

#9/sin90=(DF)/sin63#

#(9*sin63)/sin90=DF#

#DF~~8.0 rarr# (Rounded from 8.019058718)

#9/sin90=(DE)/sin27#

#(9*sin27)/sin90=DE#

#DE~~4.1 rarr# (Rounded from 4.085914498)

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