What is the value of x? If necessary express your answer in simplest radical form.
A. 18
B. 20
C.4✔️2
D. 4✔️3


What Is The Value Of X If Necessary Express Your Answer In Simplest Radical Form A 18 B 20 C42 D 43 class=

Answer :

Answer:

B, 20

Step-by-step explanation:

The Pythagorean Theorem states that the two shortest lengths in a right triangle (in our case, 12 and 16), is equal to the longest length in a right triangle (c). So,

a²+b²=c²

Substitute 12 and 16 for a and b, our side lengths

12²+16²=c²

144+256=400

400=c²

Square root both c and 400, which gives us...

20=c

So, the value of x is 20.