15.07.2022 - 09:48

Find the value of x on the figure below.


Find the value of x on the figure below.

Answers (1)
  • Betty
    April 15, 2023 в 03:27
    Based on the triangles formed by the vertical lines on the figure, we can see that the ratio of the length of the longer segment to the shorter segment is 2:1. We already know that the shorter segment has a length of 2x, so the longer segment must have a length of 4x. Next, we can apply the Pythagorean theorem to the right triangle on the left side of the figure. We have: (2x)^2 + 6^2 = (4x)^2 Simplifying this equation gives: 4x^2 + 36 = 16x^2 Subtracting 4x^2 from both sides gives: 36 = 12x^2 Dividing both sides by 12 gives: 3 = x^2 Taking the square root of both sides gives: x = ±?3 However, since we are dealing with a length, we can discard the negative solution. Therefore, the value of x is ?3.
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