Josh is putting up a fence around a garden that is next to a wall. He only has 54 feet of fence and the length of the garden mus
t be 6 feet more than twice the width. In the system of equations that represent the situation, let l be the length of the garden and let w be the width: 2w + l = 54 l = 2w + 6
We have to find the lengths of the diagonals KM and JL: d ( KM ) = √ (( - a - b )² + ( 0 - c )²) = √ (( a + b )² + c² ) d ( JL ) = √ ( ( a - ( - b ) )² + ( 0 - c )²) = √ ( ( a + b )² + c² ) So the lengths of the diagonals KM and JL are congruent. The lengths of the diagonals of the isosceles trapezoid are congruent.
