Since V is the midpoint of SU, we know that SV = VU. Similarly, since W is the midpoint of TU, we know that TW = WU.
Therefore, SV = VU and TW = WU.
So, ST = SU + UT = SV + WU = VU + WU = VW.
We are given that VW = 6x - 26.
So, 6x - 26 = ST.
Since ST = -6x + 74, we can set the expressions for ST equal to each other:
-6x + 74 = 6x - 26.
Solving for x:
12x = 100
x = 8.33
Now, plug in x back into the expression for ST:
ST = 6(8.33) - 26 = 50 - 26 = 24.
Therefore, the measure of ST is 24.
In the diagram below of triangle STU, V is the midpoint of SU and W is the
midpoint of TU. If VW = 6x-26, and ST = -6x + 74, what is the measure
of ST?
1 answer