The ratio of the diagonals of a kite is 3:4. If the area of the kite is 150, find the longer diagonal?
1 Answer
Jun 24, 2018
Explanation:
the area (A) of a kite is the product of the diagonals
∙xA=d1d2
where d1 and d2 are the diagonals
given d1d2=34 then
d2=43d1←d2 is the longer diagonal
forming an equation
d1d2=150
d1×43d1=150
d21=4504
d1=√4504=15√22
⇒d2=43×15√22=10√2