Final answer:
The value of RU in triangle SUV is found by subtracting the sum of two known side lengths from the triangle's total perimeter. Since SV = 38 and SU = 26, and the perimeter is 102, RU is calculated to be 38.
Step-by-step explanation:
To find the value of RU in triangle SUV, we can use the information given to calculate the perimeter of the triangle. We know that SV = 38 and SU = 26, and we are given that the perimeter of the SUV is 102. The perimeter of a triangle is the sum of the lengths of its sides. In the triangle SUV, we will call the side UV the unknown side RU, which we are trying to find.
The formula for the perimeter of a triangle is Perimeter = SV + SU + RU. Substituting the known values, we get:
- 102 = 38 + 26 + RU
- 102 = 64 + RU
- RU = 102 - 64
- RU = 38
Therefore, the value of RU is 38.