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35 votes
HELP ME PLS.

what is the value of y?

HELP ME PLS. what is the value of y?-example-1
User Sjors Miltenburg
by
2.7k points

1 Answer

26 votes
26 votes

Answer:

y=6

Explanation:

Since this is a rhombus, the 4 triangles must have the same base and height. They are also all right triangles, and we are given the hypotenuse (x+5) and (2x). They each must be equal, so we can form the equation x+5=2x to solve for one of them:x=5. So one of the legs is y, the other is 8, and the hypotenuse is 5+5=10. We can use the pythagorean theorem to solve: y^2+8^2=10^2.

y^2+64=100

y^2=100-64=36.

y=6.

User Reid Baker
by
2.6k points