Question

Uhh I have trouble with square roots,

Answer 1

The hypotenuse of a right triangle is 7 inches, and one of the legs is\[\sqrt{13}\] inches. Find the length of the other leg.

Answer 2

\[a ^{2}+b ^{2}=c ^{2}\] where c is the hypotenuse
a and b are the legs.

So...
\[(\sqrt{13}) ^{2} + (b) ^{2}=(7) ^{2}\]

Answer 3

We can simplify this to:\[13+(b) ^{2}=49\]

Answer 4

\[(b) ^{2}=36\]

Answer 5

b=36?

Answer 6

b^2=36. What's the square root of 36?

Answer 7

6

Answer 8

Right :)

Answer 9

Wait so it's 6?

o.m.g wait what

Answer 10

\[(\sqrt{13})^2 + b^2 = 7^2\]
\[13 + b^2 = 49\]
\[b^2 = 49-13 = 36\]
\[b = \sqrt{36}\]
\[b = 6\]

Yup, it's 6.

Answer 11

@AloneS do you understand how/why it's 6?

Answer 12

Yea actually now i do. Thanks! :)

Answer 13

You're welcome :)