Question

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!

Answer 1

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.