I need help with the number 27 and 28

Mathematics

1 answer:

Cloud [144]3 years ago

5 0

i dont really know sorry

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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The two quadrilaterals below are similar. What is the length of EF?

damaskus [11]

EF = 15 cm.

Step-by-step explanation:

Step 1:

If the quadrilaterals, ABCD and EFGH are similar their side lengths will be of the same ratio throughout.

Comparing the quadrilaterals, we have AB and EF are similar, BC and FG are similar, CD and GH are similar, DA and HE are similar.

So the ratio of all these sides will be equal.

Step 2:

$\frac{AB}{EF} :\frac{BC}{FG} : \frac{CD}{GH} :\frac{DA}{HE} .$

Of these lengths, we only have the values for AB, BC, CD, DA, GH, HE and need to determine the length of EF. By substituting the known values the ratio becomes;

$\frac{5}{EF} :\frac{4}{12} :\frac{6}{18} .$