Question

Find the length of side c in the right triangle below. Round to the nearest tenth if necessary.

A) 4.9
B) 13
C) 14
D) 1669

Answer 1

13

Explanation:

You need to use the Pythagorean theorem. Which is a^2+b^2=c^2

so 5^2+12^2

which simplifies to 25+144=c^2

then it simplifies to 169=c^2

Now you take the square root

c=sqrt(169)

c=13

Answer 2

For this case we have that by definition, the Pythagorean theorem states that:

`c = \sqrt {a ^ 2 + b ^ 2}`

Where:

c: It is the hypotenuse

a, b: Are the legs

Substituting the values of the figure:

`c = \sqrt {5 ^ 2 + 12 ^ 2}\\c = \sqrt {25 + 144}\\c = \sqrt {169}\\c = 13`

Thus, the value of the hypotenuse is 13.

Answer:

13

Option B