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In the diagram, DG = 15, GF = 5, EH = 12, and DE = 8. Triangle D F E is shown. Line segment G H is drawn from side D F to side E F to form triangle G F H. The length of D G is 15, the length of G F is 5, the length of E H is 12, and the length of D E is 8. To prove that △DFE ~ △GFH by the SSS similarity theorem using the information provided in the diagram, it would be enough additional information to know that HF is 2 units and GH is 3 units. HF is 3 units and GH is 2 units. HF is 4 units and GH is 2 units. HF is 3 units and GH is 4 units.

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HarleyQuinnSwim666

Answer: C

Explanation: Correct on Edgenuity. I got a 100%.

raphealnwobi

Since triangle DFE is similar to triangle GHF, HF is 3 units and GH is 2 units.

What are similar figures?

Two figures are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion.

The SSS Similarity states that two triangles are similar If all the three sides of a triangle are in proportion to the three sides of another triangle.

Since triangle DFE is similar to triangle GHF, hence:

DF/GF = DE/GH

20/5 = 8/GH

GH = 2 units

Also:

EF/HF = DF/GF

(12 + HF)/HF = 20/5

HF = 4

Since triangle DFE is similar to triangle GHF, HF is 3 units and GH is 2 units.

Find out more on similar figures at: https://brainly.com/question/2644832

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