Question

.

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

Answer:

(C)14.73

Step-by-step 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

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

$361=a^2+144$

$217=a^2$

$a=\sqrt{217}$

$a=14.73$

Thus, the value of a will be 14.73.

Hence, option (C) is correct.