paigeallicia121 paigeallicia121
  • 09-10-2018
  • Mathematics
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The hypotenuse of a right triangle measures 58 cm and one of its legs measures 42 cm. What is the length of the missing leg? 10 cm 16 cm 40 cm 71 cm

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bolivarbarreto21
bolivarbarreto21 bolivarbarreto21
  • 09-10-2018
if the hypotenuse is 58cm, and one of the others legs is 42cm the answer would be 40cm

Explanation:

Here you have to use the formula

[tex] {a}^{2} + {b}^{2} = {c}^{2}[/tex]
Then you have to pose the formula in terms of one of the legs, so:

[tex] {a}^{2} = {c}^{2} - {b}^{2} [/tex]
[tex]a = \sqrt{ {c}^{2} - {b}^{2}}[/tex]
So when you change the letter for numbers you have that:

[tex]a = \sqrt{ {58}^{2} - {42}^{2} }[/tex]

a=40
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