The perimeter of a kite is 80 cm. If one side is 4 cm less than three times the other, find the length of each side

Step-by-step explanation:

let one side be x

and other side be 3x - 4

so perimeter = x + ( 3x - 4 ) + x + ( 3x - 4 )

80cm = 8x - 8

88cm = 8x

11cm = x

x = 11cm

3x - 4 = 3×11 -4

= 29cm

so sides are 11cm and 29cm

18 units²

step-by-step explanation:

first let's find altitude bd using the distance formula

d = √((y₂ - y₁)² + (x₂ - x₁)²)

bd = √((0 - -3)² + (0 - 3)²)

bd = √18

given the placement of points a and c, we can denote that point d bisects segment ac.

we will call ac the base.

using the distance formula

ac = √((0 - 6)² + (-6 - 0)²)

ac = √72

knowing our base and our height, we can plug these into our triangle area formula

area = (b * h)/2

area = (√18 * √72) / 2

area = (√1296) / 2

area = 36 / 2

area = 18 units²