volume_mute
Find Half of the Other Diagonal
publish date: 2026/05/15 20:40:51.770396 UTC
volume_mute
In the same rectangle RSTU, diagonal \(RT = 13\) ft and \(G\) is the intersection of the diagonals. Find \(m(SG)\).
Correct Answer
6.5 ft
Explanation
Two properties are needed here: (1) Diagonals have equal length → \(SU = RT = 13\) ft. (2) Diagonals intersect at their midpoints → \(G\) is the midpoint of \(\overline{SU}\). Therefore: \[m(SG) = \frac{SU}{2} = \frac{13}{2} = 6.5 \text{ ft}\]
Reference
Mathematics for college students