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Identify the similar triangles. Find x and the measures of the indicated sides.

What is the answer? Angle similarity

Identify The Similar Triangles Find X And The Measures Of The Indicated Sides What Is The Answer Angle Similarity class=

Sagot :

Mhanifaidn

Answer:

  • See below

Step-by-step explanation:

Given:

Angles A and C are equal. This makes triangles similar:

  • ΔAED ~ ΔCBD

Ratio of corresponding sides is same:

  • AE/BC = DE/BD
  • (x + 1)/(x + 5) = 2.4/7.2
  • 3(x + 1) = x + 5
  • 3x + 3 = x + 5
  • 2x = 2
  • x = 1

Side measures are:

  • DE = 1 + 1 = 2
  • BD = 1 + 5 = 6
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