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What is the length of side EF in the triangle? Please give a step by step explanation, I'm having lots of trouble finding the solution. Thank you!

What is the length of side EF in the triangle? Please give a step by step explanation-example-1

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Answer:

EF = 8.8 cm

Explanation:

In the given right angled ΔDEF, DE is the hypotenuse while EF and DF are adjacent sides. So that applying the Pythagoras theorem, we have;


/hyp/^(2) =
/adj1/^(2) +
/adj2/^(2)


/DE/^(2) =
/EF/^(2) +
/DF/^(2)


/16.2/^(2) =
/EF/^(2) +
/13.6/^(2)

262.44 =
/EF/^(2) + 184.96


/EF/^(2) = 262.44 - 184.96

= 77.48

EF =
√(77.48)

= 8.8023

EF = 8.8 cm

The length of side EF is 8.8 cm.

User Paulus
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