Question

midsegments of triangles (coloring activity) name find the value of x for each problem. grade 1. triangle diagram with 14 and x 2.

Explanation:

Step1: Recall Midsegment Theorem

The Midsegment Theorem states that the segment connecting the midpoints of two sides of a triangle is parallel to the third side and half as long.

Step2: Apply the Theorem

Here, the segment of length 14 is the midsegment, so it should be half of the length of the third side \( x \). So we have the equation \( 14=\frac{x}{2} \).

Step3: Solve for \( x \)

Multiply both sides of the equation by 2: \( x = 14\times2 = 28 \).

Answer:

\( x = 28 \)