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Tpy6a [65]
3 years ago
15

If the hypotenuse of a right triangle is 30 cm long and one leg is twice as long as the other, how long are the legs of the tria

ngle?
Mathematics
1 answer:
Talja [164]3 years ago
8 0
30^2=a^2+2(a)^2
900=a^2+4a^2
900=5a^2
180=A^2
6√5=a
a=13.4164cm
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{3 x - 4 y = -16 | (equation 1)

2 x - 4 y = -8 | (equation 2)

Subtract 2/3 × (equation 1) from equation 2:

{3 x - 4 y = -16 | (equation 1)

0 x - (4 y)/3 = 8/3 | (equation 2)

Multiply equation 2 by 3/4:

{3 x - 4 y = -16 | (equation 1)

0 x - y = 2 | (equation 2)

Multiply equation 2 by -1:

{3 x - 4 y = -16 | (equation 1)

0 x+y = -2 | (equation 2)

Add 4 × (equation 2) to equation 1:

{3 x+0 y = -24 | (equation 1)

0 x+y = -2 | (equation 2)

Divide equation 1 by 3:

{x+0 y = -8 | (equation 1)

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Collect results:

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