140k views
0 votes
Given the isosceles trapezoid EFGH and side length JL = 93 units. If the length of KN = (3x + 1) and MN = (5x - 4), what is the length of KM?

User Fwind
by
5.7k points

1 Answer

6 votes

Answer:

KM=JL=93 units

or KM=KN + MN= 8x-3

Explanation:

The value of length of KM can be equal to either JL or obtained by adding KN = (3x + 1) and MN = (5x - 4) depending on the diagram.

An isosceles trapezoid has non parallel sides congruent.

In the isosceles trapezoid the diagonals are also equal.

There is a pair of parallel lines in an isosceles trapezoid.

In the 1st figure trapezoid JL and KM are diagonals.

If we take the JM and KL to be the parallel lines then the opposite sides can be JK and LM

And N is the middle line or the mid segment.

In the figure 2

The value of length of KM is obtained by adding KN = (3x + 1) and MN = (5x - 4)

KM=KN + MN = (5x - 4) +(3x + 1)

KM=8x- 3

Given the isosceles trapezoid EFGH and side length JL = 93 units. If the length of-example-1
Given the isosceles trapezoid EFGH and side length JL = 93 units. If the length of-example-2
User Kartik Chauhan
by
6.4k points