Question 1185596
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Rhombus with each side 120 and altitude 90:<br>
{{{drawing(400,400,-20,180,-20,120
,line(0,0,120,0),line(120,0,160,90),line(160,90,40,90),line(40,90,0,0),line(40,0,40,90),line(40,90,120,0)
,locate(5,50,120),locate(45,50,90),locate(20,-5,x),locate(60,-5,"120-x"),locate(90,50,y)
)}}}<br>
a)Find the area of the rhombus.<br>
base times height: 120*90<br>
b)Find the smaller interior angle of the rhombus.<br>
tan^(-1)(90/120) -- use a calculator<br>
c)Find the length of the shorter diagonal.<br>
(1) Use the Pythagorean Theorem with 120 and 90 to find x;
(2) calculate 120-x;
(3) use the Pythagorean Theorem with 90 and 120-x to find y<br>