A triangle has two sides of length 14 and 19. What is the largest possible whole-number length for the third side?
1 answer:
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Answer:
Step-by-step explanation:
1). By applying Pythagoras theorem in the triangle formed by two sides and the diagonal,
Length of the diagonal =
=
= 25√2
AC ≈ 35.56 units
2). Since, diagonal of a square is the angle bisector of interior angles of the square,
m∠CAB = 45°
By applying sine rule in ΔABC,
sin(45°) =
AC = 25√2
AC ≈ 35.56 units
