*PLEASE ANSWER* What is the perimeter of the triangle below?
2 answers:
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Since the line bisects the right angle of the larger triangle, the angle opposite 3 in the triangle on top is 45 degrees (90/2 = 45).
sin 45 = 3/x
=
x = 3
Solve the second equation for 2y.
.. 2y = 9 -x
Substitute that into the first equation.
.. 3x -(9 -x) = 11
.. 4x -9 = 11
.. 4x = 20
.. x = 5
Using our expression for 2y above,
.. 2y = 9 - 5
.. y = 4/2 = 2
The solution is (x, y) = (5, 2).
.. 2y = 9 -x
Substitute that into the first equation.
.. 3x -(9 -x) = 11
.. 4x -9 = 11
.. 4x = 20
.. x = 5
Using our expression for 2y above,
.. 2y = 9 - 5
.. y = 4/2 = 2
The solution is (x, y) = (5, 2).