The diagonals of parallelogram QRST and intersect at point U. If RS = 10, ST = 12, and RU = 9.5, find the length of

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asked May 12, 2017 28.7k views

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JohanShogun · Answer 1 · 2017-05-18T01:51:05+0000

I am assuming that parallelogram QRST is rectangle.
RS is the width and ST is the length.
RT is the diagonal. RU is half of the diagonal and TU is the other half of the diagonal.

Length = 12 ; Width = 10

to find the diagonal:
d = √(L²+W²
d = √ 12² + 100²
d = √ 144 + 100
d = √244
d = 15.62

RU + TU = 15.62
TU = 15.62 - 9.5
TU = 6.12

The diagonals of parallelogram QRST and intersect at point U. If RS = 10, ST = 12, and RU = 9.5, find the length of

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