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ivolga24 [154]
2 years ago
7

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
Mathematics
1 answer:
Nutka1998 [239]2 years ago
5 0
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

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

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

a = \sqrt{ {58}^{2} - {42}^{2} }

a=40
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