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ELEN [110]
3 years ago
5

if the hypotenuse of an isosceles right triangle has a length of 5 centimeters what is the length of one of the legs

Mathematics
1 answer:
ale4655 [162]3 years ago
8 0

Answer:

a =b = \frac{5\sqrt{5} }{5}

Step-by-step explanation:

a^{2} +b^{2} = 5 ^{2}

a = b

2a^{2}   = 5 ^{2}

2a^{2}   = 25\\

a^{2}   = \frac{25}{5}

a = \frac{5}{\sqrt{5} }

must rationalize...

a =b = \frac{5\sqrt{5} }{5}

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