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Triangle XYZ is a scale drawing of triangle ABC.
Triangle ABC has side lengths 3, 4, & 5.
Triangle XYZ has corresponding side lengths x, 12, & 15.
What is the value of x?

Triangle XYZ is a scale drawing of triangle ABC Triangle ABC has side lengths 3 4 amp 5 Triangle XYZ has corresponding side lengths x 12 amp 15 What is the valu class=

Respuesta :

akposevictor

Answer:

x = 9

Step-by-step explanation:

∆ABC is similar to ∆XYZ

Therefore:

[tex] \frac{AB}{XY} = \frac{BC}{YZ} [/tex]

AB = 4

XY = 12

BC = 3

YZ = x

Plug in the values

[tex] \frac{4}{12} = \frac{3}{x} [/tex]

Cross multiply

4x = 36

Divide both sides by 4

x = 9

Answer:

x=9

Step-by-step explanation: