Question

One leg of a right triangle is 10 units, and its hypotenuse is 12 units. What is the length of the other leg?

A.
about 7 units
B.
about 15 units
C.
about 25 units
D.
about 122 units
E.
about 224 units

Answer 1

i have no clue i rlly need help

Answer 2

ok, so let me get you an image of this real quick

Answer 3

so, we have to find the x value based on this, this is going to be done using the \(Pythagorean~Theorem\), so \(\color{tomato}{c^2}=\color{cyan}{a^2}+\color{lime}{b^2}\)
now, to find x it is
\(\color{tomato}{12^2}=\color{cyan}{10^2}+\color{lime}{b^2}\)
now we have to find \(b\), so

\(\color{tomato}{12^2}=\color{cyan}{10^2}+\color{lime}{b^2}\) solve the squares.
\(\color{tomato}{144}=\color{cyan}{100}+\color{lime}{b^2}\) now remove the 100 and add it to the other side
\(\color{tomato}{244}=\color{lime}{b^2}\) square 244 and you'll have your answer
\(\sqrt{\color{tomato}{244}}=\sqrt{\color{lime}{b^2}}\) and you'll have your answer.

Answer 4

im still confuesed what can we rule out

Answer 5

what do you mean?

Answer 6

im still confused so what of abcd cant be right

Answer 7

you don't need to rule answers out, just square 244 and you'll have your answer.

Answer 8

ok
15

Answer 9

is that right

Answer 10

does it say to round to any decimal point?

Answer 11

if not, then yes

Answer 12

ok tys so much

Answer 13

You're welcome.