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Assume ABC DEF. If AB = 12, BC = 15, and AC = 17, what is the length of EF?

User Raziel
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2 Answers

5 votes
the length would be 15 because they are congruent triangles.
User Paulo Pessoa
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6 votes

Answer with explanation:

It is given that, ΔABC ≅ ΔDEF.

AB=12 cm

BC=15 cm

AC=17 cm

Also, you will observe that,

AB² + BC²

= 12² + 15²

=144 +225

=289

=AC²

Hence, ΔABC is right angled triangle,right angled at B.

Also, it is given that, ΔABC ≅ ΔDEF

So, DE=AB=12 units

BC=E F=15 units

D F=AC=17 units

So,E F=15 units

User Vladi Feldman
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8.2k points