Answered

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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

Verified Answer :

iGreen

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

boffeemadrid

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.

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