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Find the length of the size not given when the hypotenuse is c and the legs are a and b

Find the length of the size not given when the hypotenuse is c and the legs are a-example-1

1 Answer

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Take into accoun that the Pythagorean theorme is given by:

c² = a² + b²

8.

a = ?, b = 18, c = 30

solve the equation for a:

c² = a² + b²

a² = c² - b²

a = √(c² - b²) replace the values of c and b

a = √(30² - 18²)

a = √(900 - 324)

a = √(576)

a = 24

9.

c= ?, a = 5, b = 12

replace the values of b and a:

c = √(a² + b²)

c = √(5² + 12²)

c = √(25 + 144)

c = √(169)

c = 13

10.

b = ?, a = 6, c = 10

solve the equation for b:

b = √(c² - a²)

b = √(10² - 6²)

b = √(100 - 36)

b = √(64)

b = 8

User Danijelk
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