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Answer:
The answer to your question is b = 11.31 cm or 8 cm
Step-by-step explanation:
Data
hypotenuse = 18 cm
one leg = 14 cm
second leg = ?
Process
1.- Use the Pythagorean Theorem to solve this problem
c² = a² + b²
c = hypotenuse
a = longer leg
b= shorter leg
2.- Substitution
18² = 14² + b²
-Solve for b
b² = 18² - 14²
-Simplify
b² = 324 - 196
b² = 128
-Find the prime factors of 128
128 2
64 2
32 2
16 2
8 2
4 2
2 2
1
128 = 2⁶2¹
-Result
b = 11.31 or 8