Points J and K are midpoints of the sides of triangle FGH. Triangle F G H is cut by lines segment J K. Point J is the midpoint o
f side G H. Point K is the midpoint of side H F. Line segments G J and J H are congruent. Line segments H K and K F are congruent. The Length of J K is 2 y + 5 and the length of G F is 5 y + 3.
What is the value of y?
What is the value of y?
2 answers:
Answer:
Value of y = 7
Step-by-step explanation:
By the midpoint theorem of the triangles,
"Segment joining midpoints of the two sides of a triangle is parallel to the third side and measure half the length of the third side."
Therefore, from the figure attached,
In ΔFGH,
J and K are the mid points of the two sides GH and FH.
By theorem, segment JK║GF and m(JK) =
(5y + 3) = 2(2y + 5)
5y + 3 = 4y + 10
5y - 4y = 10 - 3
y = 7
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