answer
36.87, 53.13, 90 degrees
side lengths
since its side lengths (a,b,c) are consecutive integers, we can say that
a = smallest side
b = a + 1
c = a + 2
perimeter = a + b + c = a + (a + 1) + (a + 2) = 3a + 3
perimeter = 12
3a + 3 = 12
3a = 9
a = 3
so the three side lengths are 3, 4, and 5
angles
since this is a right triangle, one angle is 90 degrees
(look at picture below to see where angles A and B are)
for angle A, we can use sinA = opposite/hypotenuse
sinA = 3/5
A = [tex]sin^{-1} (\frac{3}{5} )[/tex]
A = 36.87 degrees
since all three angles in a triangle add up to 180, we can find angle B through 180 = A + B + 90
B = 180 - 90 - 36.87
B = 53.13 degrees
