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1 vote
Hallar el valor de x, e, y. En la figura. Ayuda porfavor.

Hallar el valor de x, e, y. En la figura. Ayuda porfavor.-example-1
User Matt Handy
by
8.9k points

1 Answer

7 votes

Answer:


x=2.625\\ \\y=10

Explanation:

Thales theorem: If a straight line is drawn parallel to one of the sides of a triangle, then it cuts the other sides of the triangle, or these produced, proportionally; and, if the sides of the triangle, or the sides produced, are cut proportionally, then the line joining the points of section is parallel to the remaining side of the triangle.

Hence,


(y)/(7.5)=(3.5)/(x)=(6)/(4.5)

Now,


(3.5)/(x)=(6)/(4.5)\\ \\6x=3.5\cdot 4.5\\ \\6x=15.75\\ \\x=2.625

and


(y)/(7.5)=(6)/(4.5)\\ \\4.5y=6\cdot 7.5\\ \\4.5y=45\\ \\y=10

User Timmy Lee
by
8.5k points

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