SOLUTION: One side and the altitude of a rhombus measure 120 m and 90 m respectively. a)Find the area of the rhombus. b)Find the smaller interior angle of the rhombus. c)Find the length o

Algebra ->  Polygons -> SOLUTION: One side and the altitude of a rhombus measure 120 m and 90 m respectively. a)Find the area of the rhombus. b)Find the smaller interior angle of the rhombus. c)Find the length o      Log On


   

Question 1185596: One side and the altitude of a rhombus measure 120 m and 90 m respectively.
a)Find the area of the rhombus.
b)Find the smaller interior angle of the rhombus.
c)Find the length of the shorter diagonal.
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Rhombus with each side 120 and altitude 90:



a)Find the area of the rhombus.

base times height: 120*90

b)Find the smaller interior angle of the rhombus.

tan^(-1)(90/120) -- use a calculator

c)Find the length of the shorter diagonal.

(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