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TSI Math: Solving for the Diagonal of a Rhombus 19 Views


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Description:

A rhombus has an area of 72 square meters and a diagonal of 18 meters. What is the length of the other diagonal?


Transcript

00:02

All right Mash bumpers Rhombus has an area of seventy

00:05

two square meters in a diagonal of eighteen meters What

00:08

is the length of the other diagonal All right well

00:16

here's the shape of a rhombus Look at its territory

00:18

embrace it love it that's your rhombus friend there two

00:21

formulas for the area of the rhombus But we want

00:23

to use the one that wasn't late for lunch Since

00:26

we're given the length of one of the diagonals We

00:28

want the area formula that uses a rhombus diagonals in

00:31

that way we can substitute in our own known values

00:34

and find the value of the unknown diagonal right So

00:37

that area formula is area is one half d one

00:41

in times day to there find the missing diagon all

00:43

through substitution You know each diagonal angle one day going

00:46

to well just plug in the numbers because well they

00:48

just give him to us So we got seventy two

00:50

square meters is one half times eighteen meters times diagonal

00:54

too and well we can just bang that out to

00:56

be nine Divide out both sides by nine we get

00:59

eight meters is diagonal two that's it So the second

01:03

diagonal of the rhombus is eight meters long It's a 00:01:06.376 --> [endTime] in war shmoop

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