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"#
#•color(white)(x)A=d_1d_2#
#"where "d_1" and "d_2" are the diagonals"#
#"given "d_1/d_2=3/4" then"#
#d_2=4/3d_1larrd_2color(blue)" is the longer diagonal"#
#"forming an equation"#
#d_1d_2=150#
#d_1xx4/3d_1=150#
#d_1^2=450/4#
#d_1=sqrt(450/4)=(15sqrt2)/2#
#rArrd_2=4/3xx(15sqrt2)/2=10sqrt2#
