The lengths of sides of a triangle are integers and its area is also an integer.one side is 21 and the other is 48. Find the shortest side.
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Answer:
C = 52 unit
Area = 504 unit sq.
Shortest Side = 21 unit
Step-by-step explanation:
First, Find The 3rd Side.
Let's Take The Triangle As Angulus Rectus ( Right Angled ) Triangle
We Know, To Find 3rd Side, a2 + b2 = c2
(21×21)+(48×48) = c2
441 + 2304 = c2
2745 = c2
52.37 = c
Round Figure
52 = C
A = 21, B = 48, C = 52
Area = Base/2 × Height
Let's Take A As Right Angle
Area = 48/2 × 21
Area = 24 × 21
Area = 480 + 24
Area = 504 unit sq.
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