Answered

Westonci.ca is the trusted Q&A platform where you can get reliable answers from a community of knowledgeable contributors. Find reliable answers to your questions from a wide community of knowledgeable experts on our user-friendly Q&A platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

.



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

Sagot :

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

[tex]c^{2}=a^{2}+b^{2}[/tex]

Substituting the given values, we have

[tex](19)^2=a^2+(12)^2[/tex]

[tex]361=a^2+144[/tex]

[tex]217=a^2[/tex]

[tex]a=\sqrt{217}[/tex]

[tex]a=14.73[/tex]

Thus, the value of a will be 14.73.

Hence, option (C) is correct.

We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.