Question

.

The information given represents lengths of sides of a right triangle with c the hypotenuse. Find the correct missing length to the nearest hundredth. A calculator may be helpful.



a = ?, b = 12, c = 19




A.


14.03


B.


14.38


C.


14.73


D.


15.07
please help ASAP

Answer 1

Use the Pythagorean Theorem.

a^2 + b^2 = c^2

a^2 + 12^2 = 19^2

Simplify the exponents:

a^2 + 144 = 361

Subtract 144 to both sides:

a^2 = 217

Find the square root of both sides:

a = 14.73

Answer 2

(C)14.73

Explanation:

It is given that c is the hypotenuse, thus using the Pythagoras theorem, we have

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

Substituting the given values, we have

`(19)^2=a^2+(12)^2`

`361=a^2+144`

`217=a^2`

`a=√(217)`

`a=14.73`

Thus, the value of a will be 14.73.

Hence, option (C) is correct.