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8_murik_8 [283]
3 years ago
10

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 so

lution. Thank you!

Mathematics
1 answer:
wel3 years ago
6 0

Answer:

EF = 8.8 cm

Step-by-step 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 = \sqrt{77.48}

     = 8.8023

EF = 8.8 cm

The length of side EF is 8.8 cm.

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