SOLUTION: Im trying to help a friend solve this problem n our homework, but i dont know how to solve it myself. can you help? a rhombus has a perimeter of 80 inches. the longer diagonal

Question 1068233: Im trying to help a friend solve this problem n our homework, but i dont know how to solve it myself. can you help?
a rhombus has a perimeter of 80 inches. the longer diagonal has a length of 32 inches. why does the shorter diagonal have to be 24 inches?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
helps to draw this
rhombus has sides of 20 cm each
longer diagonal 32 cm and is perpendicular to other diagonal.
Half of each diagonal is a leg of a right triangle with hypotenuse 20
half of the longer is 16
half of the shorter is x
their squares add to 400, the square of 20.
256+x^2=400
x^2=144
x=12, which is half the length of the shorter diagonal.
24 inches is the length of the whole shorter diagonal.
This is a 3-4-5 right triangle with all sides multiplied by 4.
RELATED QUESTIONS
Hi, Im Beckah. Im having issues with my math homework. Im in geometry, but we have an... (answered by stanbon,nerdybill)

ummm im trying to solve these for homework but even if i read hoe to do the equations i... (answered by elima)

I am trying to help my son with his algebra homework but never really understood it... (answered by rapaljer)

i have a question about my little cosins homework im trying to help him but i keep comig... (answered by nerdybill)

hello math lovers... i would like to thank our generous math tutors for helping me to... (answered by 303795)

Can you please help me solve this problem. I have drven myself crazy trying to solve it. (answered by checkley77)

i am trying to solve a problem with the format ax squared + bx + c and im not quit sure... (answered by stanbon)

even though we have our books in algebra... I do not understand what our teacher is... (answered by stanbon)

Can you help me solve this problem {{n/n-3 + n = 7n-18/n-3}}? I know that you will need... (answered by MathTherapy)