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What is the length of the third side of a right triangle if it is known that the two of the sides have lengths 9 and 12. How many solutions does this problem have?

How many checks will he have to make?

What are some possibilites of the missing digit?

Respuesta :

Banabanana
The problem has two solutions

1. If 9 and 12 are legs, then the hypotenuse (x) is:
    x = √(9²+12²) = √(81+144) = √225 = 15

2. If 9 is the leg, and 12 is the hypotenuse, then the other leg (x) is:
    x = √(12²-9²) = √(144-81) = √63 ≈ 7.94
a^2 + b^2 = c^2 for right triangle

2 possible cases: a=9, b=12

c^2 = 9^2 + 12^2 = 81 + 144 = 225

c = 15


or a=9, c=12

b^2 = 12^2 - 9^2 = 144 - 81 = 63

b = 7.94

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