Question

I don't understand how to do this.
fan + medal.

Answer 1

Alright , what don't you understand ?

Answer 2

Ill put a picture

Answer 3

I need to find the area and HGF

Answer 4

That's all it gives you ?

Answer 5

Yeah

Answer 6

But it doesn't even give you a value of H

Answer 7

We know the value is more than 10. Because FG=10, now we have to look for the value of H.

Answer 8

And once we do, we have to multiply it by 10 (because FG) and it will give you the area

Answer 9

theres the actual picture if that helps

Answer 10

I believe the answer is 74 degrees, reason being is because the value of DFG is 37 degrees, and DGF is HALF of HFG

Answer 11

so multiplying 37 by 2 will give you 74 degrees

Answer 12

that makes sense. but how would i find the area if i dont know the other side?

Answer 13

the area of a rhombus = \(s^2sin(a)\) where s is any side and a is any interior angle
recall that all sides are equal in rhombuses

Answer 14

so 10^2(sin) ?

Answer 15

Okay let me break this down..

HGF is a full triangle because when you connect H - F - G

and the question its self gives you HALF of the triangle's area which is DFG and it gives you the value of 37

Since you have HALF of the product, multiply it by 2 to get the FULL product.

Answer 16

what does A mean?

Answer 17

I got the angle part

Answer 18

I'm not sure what the internal angle would be. we couldn't use DFG because it's not a full angle like EFG would be

Answer 19

oh, I see. the diagonals bisect each other
so now we can find FD using the pythagorean formula

Answer 20

now we can use the formula for area of a rhombus using diagonals \(\huge \frac{p*q}{2}\)