(SAT Prep) If the lengths of two sides of a triangle measure 8 and 13 what could the length of the third side measure (A) 6

(B) 21

(C) 3

(D) 4
Hint its not D.

(A)  6

third side is between 5 and 21

Step-by-step explanation:

use Triangle Inequality theorem:

the sum of any two sides of a triangle must be greater than the third

8 + 13 > x;  x < 21

8 + x > 13;  x > 5

A)6

Step-by-step explanation:

Use the triangle inequality theorem, which states that the third side of a triangle can not be greater than or equal to the sum of the other two sides, and can be no less than the or equal to the difference of the two other sides.

The sum is 8+13=21

The difference is 13-8=5

So if we call our third side x, then

[tex]5

answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are

step-by-step explanation:

x^2 -12x + 36 + y^2 = 36

x^2 + y^2 = 12x

r^2 = 12rcos(theta)

r = 12 cos(theta)