Triangle XYZ is a scale drawing of triangle ABC.

Asked 9 months ago
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1
Triangle ABC has side lengths 3, 4, & 5.
Triangle XYZ has corresponding side lengths x, 12, & 15.
What is the value of x?

2 Answer

2

Answer:

x = 9

Step-by-step explanation:

∆ABC is similar to ∆XYZ

Therefore:

 \frac{AB}{XY} = \frac{BC}{YZ}

AB = 4

XY = 12

BC = 3

YZ = x

Plug in the values

 \frac{4}{12} = \frac{3}{x}

Cross multiply

4x = 36

Divide both sides by 4

x = 9

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Neha Cassin
15.5k 3 10 26
answered 9 months ago
2

Answer:

x=9

Step-by-step explanation:

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Mr. Talon Marks
15.5k 3 10 26
answered 9 months ago