Question

Can someone please help me

Answer 1

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

Explanation:

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

`c^(2) = a^(2) +b^(2)` (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...

`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 = √(360) \\`

b ≅ 19

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

Answer 2

19.0 cm

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)

`√(b^2)`=
`√(360)`

b=18.97 rounded to the tenths place is 19.0