Question

guided practice
midsegments of triangles
type your answer and then click or tap done.
what is the length of (overline{bc})?

Explanation:

Step1: Recall the midsegment theorem

The midsegment of a triangle is parallel to the third side and half its length.

Step2: Apply the theorem

Since \(DE\) is the midsegment (\(AD = DB\) and \(AE=EC\)), and \(DE = 14\). Let the length of \(BC\) be \(x\). According to the mid - segment theorem \(DE=\frac{1}{2}BC\).

Step3: Solve for \(BC\)

We have the equation \(14=\frac{1}{2}x\). Multiply both sides by \(2\): \(x = 2\times14\).

Answer:

\(28\)