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

longer diagonal =102

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=43d1d2 is the longer diagonal

forming an equation

d1d2=150

d1×43d1=150

d21=4504

d1=4504=1522

d2=43×1522=102