Problema Solution
Their is a right triangle that is 180 degrees. We need to know what degree the three angles are. The first angle is 3 times the amount of the second angle. The third angle is 20 degrees less than the second angle. What are the degrees of each side?
Answer provided by our tutors
let
a = the degrees of the first angle
b = the degrees of the second angle
c = the degrees of the third angle
a + b + c = 180
the first angle is 3 times the amount of the second angle
a = 3b
the third angle is 20 degrees less than the second angle
c = b - 20
by solving the system of equations
a + b + c = 180
a = 3b
c = b - 20
we find
a = 120 degrees
b = 40 degrees
c = 20 degrees
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the angles of the triangle are 120, 40 and 20 degrees.