Question

find the area of a rhombus with a side length 9.4m and a vertex angle that measures 45. no trig just using geometry!

Answer 1

@Mertsj

Answer 2

I don't know what that means because a rhombus doesn't have a vertex angle.

Answer 3

A=bh
could it be a 45 45 90 triange within?

Answer 4

for some reason its not letting me draw - what i am thinking

Answer 5

If you are saying that dropping the perpendicular to draw the height of the rhombus forms a 45-45-90 triangle, then the height and the base are both 9.4

Answer 6

And the area is 4.7(9.4)

Answer 7

answers in the book saying A=44.18 sqrt 2 = 62.48

Answer 8

the answer u said where 4.7(9.4) is the 44.18 but where is the square root coming from

Answer 9

if that is s then i suppose 44.18 sqrt 2 would be the side of the hypotenuse?

Answer 10

So they are saying that the side of the rhombus is the hypotenuse of a 45-45-90 triangle and therefore the leg (which is the height of the rhombus) is 9.4/sqrt2 .
When you simplify that you get 4.7sqrt2
To find the area, multiply the height by 9.4

Answer 11

that was confusing lol! thanks for the help!

Answer 12

yw