volume_mute

Find Half a Diagonal

publish date: 2026/05/15 20:40:51.551433 UTC

volume_mute

In rectangle RSTU, diagonal \(RT = 13\) ft and \(G\) is the point where the diagonals intersect. Find \(m(TG)\).

GRSTURGTG = ?RT = 13 ft total

Correct Answer

6.5 ft

Explanation

A property of rectangles states: the diagonals intersect at their midpoints. Since \(G\) is the midpoint of diagonal \(\overline{RT}\): \[m(TG) = \frac{RT}{2} = \frac{13}{2} = 6.5 \text{ ft}\]

Reference

Mathematics for college students

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