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  • 03-09-2019
  • Mathematics
contestada


Given EG = 16 and FH = 12, what is the length of one side
of the rhombus?

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absor201
absor201 absor201
  • 03-09-2019

Answer:

L= 10 units....

Step-by-step explanation:

EG and FH are diagonals of the rhombus. We know that diagonals meet at 90 degree.

Here EG = 16

FH = 12

Therefore a 90 degree right triangle can be formed with legs of:

16/2 = 8

12/2 = 6

Now apply Pythagorean theorem where hypotenuse is the side of the triangle:

(Length)^2 = (6)^2 + (8)^2

(L)^2 =  36+64

L^2 = 100

Take square root at both sides:

√L^2 = √100

L= 10 units....

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