thematerialmatrix thematerialmatrix

11-07-2018
Mathematics

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Please give me legit answers and an thorough explanation for this problem

Please give me legit answers and an thorough explanation for this problem class=

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mkryukova19 mkryukova19

11-07-2018

We have to similar triangles: FIG and GIH.
Ratios corresponding sides should be equal.

short leg 1/long leg1 = short leg2/ long leg 2
|FI|/|GI| =|GI|/|HI|
|GI|² = |FI|*|HI|
13² = |FI|*18
|FI| = 13²/18 = 9.4
Answer : D. 9.4.

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