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What is the length of segment vs? 3 units 11 units 13 units 15 units

Sagot :

akposevictor

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:

https://brainly.com/question/654982

#SPJ4

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