Question

Need help with this, simple but I don't understand/remember how to do it.

Answer 1

By using definition of proportionality and Pythagorean theorem, the values of x and y associated with the geometrical system formed by two right triangles are 36 / 5 and 104 / 5, respectively.

How to analyze a geometrical system formed by two proportional right triangles

Herein we find a picture of a geometrical system formed by two proportional right triangles with two variables: {x, y} These variables can be found by using the definition of proportionality and the Pythagorean theorem:

5 / 8 = 12 / (12 + x) = 13 / y

Then, we proceed to solve the system formed by two equations:

(12 + x) / 12 = 8 / 5

12 + x = 96 / 5

x = 96 / 5 - 12

x = 36 / 5

y / 13 = 8 / 5

y = 104 / 5

By using definition of proportionality and Pythagorean theorem, the values of x and y associated with the geometrical system formed by two right triangles are 36 / 5 and 104 / 5, respectively.

To learn more on right triangles: brainly.com/question/6322314

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