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25 votes
25 votes
Finding lengths. Write similarity statements for three triangles in the diagram. then find the given length. Find HF

HELP ME PLEASE

Finding lengths. Write similarity statements for three triangles in the diagram. then-example-1
User Jaaayz
by
2.9k points

2 Answers

14 votes
14 votes

Answer:

HF = 15??

Explanation:

i think the question is incorrect cause there's no solution, I've been struggling help u answer the question for 10 minute but... anyway please refer to the pic

Finding lengths. Write similarity statements for three triangles in the diagram. then-example-1
User Jeshurun
by
3.3k points
21 votes
21 votes

Answer:

∆GHE ~ ∆FHG ~ ∆FGE

HF = 16

Explanation:

The similar triangles can be identified this way.

∆GHE ~ ∆FHG ~ ∆FGE

Then the proportion involving sides FE, FH, FG can be written as ...

FG/FE = FH/FG

FH = FG²/FE . . . . . . . multiply by FG

FH = 20²/25 . . . . . substitute given values

FH = 16

The length of HF is 16 units.

User Mrcrowl
by
2.8k points