Respuesta :
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
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.