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if H & J equals 7 and 10s equals 10 find LK

If H Amp J Equals 7 And 10s Equals 10 Find LK class=

Sagot :

The trapezoid HJKL has T and S as midpoints of the legs

The length of TS can be calculated as the mean or average of the lengths of HJ and LK, i.e.:

[tex]TS=\frac{HJ+LK}{2}[/tex]

We are given the lengths HJ=14, LK=42, thus:

[tex]TS=\frac{14+42}{2}=\frac{56}{2}=28[/tex]

Now if we have HJ=7 and TS=10, we can find LK by solving the equation for LK

[tex]LK=2TS-HJ[/tex][tex]LK=2*10-7=20-7=13[/tex]

The length of LK is 13

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