Applying the Pythagorean theorem, the length of segment VS in the diagram given is: D. 15 units
What is the Pythagorean Theorem?
The theorem states that, the square of the hypotenuse of a right triangle = sum of the squares of the legs of the right triangle.
Given that TR = RV, therefore:
5x - 4 = 2x + 5
Solve for x
5x - 2x = 4 + 5
3x = 9
x = 3
TS = 6x - 3 = 6(3) - 3 = 15 units
TR = RV = 2x + 5 = 2(3) + 5 = 11 units
Find RS using the Pythagorean theorem:
RS = √(TS² - TR²) = √(15² - 11²) ≈ 10 units
Find VS using the Pythagorean theorem:
VS = √(RS² + RV²) = √(10² + 11²) ≈ 15 units
Learn more about the Pythagorean theorem on:
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