Question

question 2 (1 point)
triangles are used for strength in roof trusses. in the diagram, uv and vw are midsegments of \\( \triangle srt \\). find uv and rt.
uv = \\( \underline{\quad\quad} \\) in
ur = \\( \underline{\quad\quad} \\) in
blank 1:
blank 2:

Explanation:

Step1: Apply Midsegment Theorem to UV

The midsegment of a triangle is half the length of the side it is parallel to. UV is parallel to RT, so $UV = \frac{1}{2} \times RT$.
Substitute $RT = 90$ in:
$UV = \frac{1}{2} \times 90 = 45$

Step2: Apply Midsegment Theorem to RS

VW is a midsegment parallel to RS, so $RS = 2 \times VW$.
Substitute $VW = 57$ in:
$RS = 2 \times 57 = 114$

Answer:

UV = 45 in
RS = 114 in