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Sagot :

Answer:

19.0 cm

Step-by-step explanation:

a^2+b^2=c^2

1^2+b^2=19^2

1+b^2=361

(subtract one from both sides)

b^2=360

(now square root to get rid of the ^2)

[tex]\sqrt{b^2}[/tex]=[tex]\sqrt{360}[/tex]

b=18.97 rounded to the tenths place is 19.0

840060

Answer:

The length of the other leg is 19 cm (rounded to the nearest tenth).

Step-by-step explanation:

In order to solve this, we need to know the Pythagoras theorem which states that...

[tex]c^{2} = a^{2} +b^{2}[/tex]  (Where c is the length of the hypotenuse and a and b are the lengths of the legs)

Now just substitute the values to find the length of the other leg, and we get...

[tex]c^{2} = a^{2} +b^{2}\\19^{2} = 1^{2} + b^{2} \\b^{2} = 19^{2} - 1^{2} \\b^{2} = 361 - 1\\b^{2} = 360\\b = \sqrt{360} \\[/tex]

b ≅ 19

Therefore the length of the other leg is around 19 cm.

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