Parallelogram efgh is a rectangle. he = 6, and fe = 8. find ge: and find fj:

GE = 10 units,

FJ = 5 units.

Step-by-step explanation:

A rectangle is a parallelogram with all interior angles of 90°. Since angle E has the measure 90°, then the triangle EFH is right triangle. By the Pythagorean theorem,

The diagonals of the rectangle are congruent, so

GE = FH = 10 units.

The diagonals of the rectangle biect each other, thus

GE = 10 and FJ =5

Step-by-step explanation:

Since parallelogram is a rectangle therefore opposite sides of the rectangle will be equal and all angles of the rectangle will be 90°.In addition to this diagonals of the rectangle bisects each other in equal parts.

Given side HE = 6 and Side FE = 8

Therefore from ΔEGH side GE = √GH²+HE²(By Pythagoras Theorem)

GE = √6²+8²=√36+64 = √100 = 10

Since GE = FH ( diagonals of rectangle are equal)

Therefore FJ = (In a rectangle diagonals bisects equally) =  10÷2 = 5

more detail

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