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NikAS [45]
3 years ago
7

△ABC is similar to △DEF . AB=5 inches, BC=9 inches, and DE=7.5 inches. What is EF ?

Mathematics
2 answers:
MrRissso [65]3 years ago
8 0
I think the answer is 13.5. △DEF is 1.5 times bigger than <span>△ABC</span>
Vikki [24]3 years ago
4 0
Similar triangles have corresponding sides with proportional lengths.

AB/BC = DE/EF

5/9 = 7.5/EF

5(EF) = 9 * 7.5

5(EF) = 67.5

EF = 13.5
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Answer:

  • B. BC = 18 so ∆ABC ~ ∆DEF by SAS

Step-by-step explanation:

\bf \cfrac{AB}{DE}  =  \cfrac{BC}{EF}

  • \bf \cfrac{15}{10}  =  \cfrac{BC}{12}
  • \bf  \cfrac{3}{2}  =  \cfrac{BC}{12}
  • \bf BC =  \cfrac{3}{2}  \times 12
  • \bf 3 \times 6
  • \bf BC = 18
  • \bf \angle B = \angle \: E

So, ∆ABC ~ ∆DEF by SAS.

<h3><u>------------------------------------</u></h3>
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Answer:

C. 60

Step-by-step explanation:

From triangle ADB,

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|AD|^2=20^2-16^2

|AD|^2=400-256

|AD|^2=144

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