Answer: b=18.1 and c=14.3
Step-by-step explanation:o solve for the lengths of the sides b and c in triangle ABC, we can use the law of sines, which relates the lengths of the sides of a triangle to the sines of the angles opposite those sides. Specifically, the law of sines states that:
a/sin(A) = b/sin(B) = c/sin(C)
where A, B, and C are the angles of the triangle opposite sides a, b, and c, respectively.
Given that a = 17, B = 70°, and C = 48°, we can write:
b/sin(70°) = 17/sin(A)
c/sin(48°) = 17/sin(A)
To solve for b and c, we need to find sin(A). We can do this by using the fact that the angles of a triangle sum to 180°:
A + B + C = 180°
A = 180° - B - C
A = 180° - 70° - 48°
A = 62°
Now we can substitute sin(A) = sin(62°) into the equations above and solve for b and c: