If RS=ST=19, s<r and t=7, find s and r.
To find the values of s and r, we can use the given information that RS = ST = 19 and t = 7.
Since RS = ST, this means that the line segment RS and the line segment ST are congruent.
We also know that t = 7, which means that the length of ST is 7 units.
To find the values of s and r, we need to determine the lengths of RS and RT.
Let's consider RS first. Since RS and ST are congruent and RS = ST, we have:
RS = ST = 19.
Therefore, the length of RS is 19 units.
Now, let's find the lengths of RT. Since RS = ST = 19, and the sum of the lengths of two sides of a triangle is greater than the length of the third side, we can determine that r > 19, as r represents the length of RT.
Since s < r, we can also determine that s < 19.
However, without any additional information or constraints, we cannot determine the exact values of s and r.