Question

In triangle RST, if RS = 6, TR = 4.5, and TS = x, what is the value of x?

A. 2.5
B. 3
C. 3.5
D. 4

Answer 1

To find the value of x in triangle RST, we can use the triangle inequality theorem and set up an inequality to solve for x.

Step-by-step explanation:

To find the value of x in triangle RST, we can use the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

In this case, we have RS = 6, TR = 4.5, and TS = x. Using the triangle inequality, we can set up the inequality:

RS + TR > TS

6 + 4.5 > x

10.5 > x

Therefore, the value of x must be less than 10.5. Looking at the answer choices, the only option that is less than 10.5 is A. 2.5.