8 DOR is a triangle of sides RO = 10 cm, DO = 8 cm and DR = 5 cm.
From a point U on [DR] such that RU = 2 cm
draw the parallels to (DO) and (RO)
(RO) at G and (DO) at H ,
1° What is the nature of the quadrilateral
HUGO?
2° Calculate HU and GU.
3° The parallel drawn from G to (DR) cuts (HU)
at P and (DO) at I.
Calculate DI , HI and PI .

Nthe opening scene of the movie raiders of the lost ark, indiana jones replaces a golden statue with a bag of sand. the platform on which the statue is placed is designed to detect the mass of the statue. if the bag of sand has a different mass than the statue, then a mechanism triggers and destruction ensues. the density of gold is about 20\text{ g/cm}^320 g/cm 3 20, space, g, slash, c, m, start superscript, 3, end superscript. the density of sand can be estimated at 2.5\text{ g/cm}^32.5 g/cm 3 2, point, 5, space, g, slash, c, m, start superscript, 3, end superscript. the gold statue can be modeled as a cylinder with height 25\text{ cm}25 cm25, space, c, m and radius 8\text{ cm}8 cm8, space, c, m. in terms of \piπpi, what is the mass of sand indiana jones needs to avoid triggering the mechanism?