Question

points j and k are midpoints of the sides of triangle fgh. what is the value of y? g j h k f 2y +5 5y +3 2 5 7 8

Explanation:

Step1: Apply Midsegment Theorem

Midsegment = ½ of opposite side: $2y + 5 = \frac{1}{2}(5y + 3)$

Step2: Solve for y

Multiply both sides by 2: $4y + 10 = 5y + 3$
Rearrange: $10 - 3 = 5y - 4y$ → $y = 7$

Answer:

7