GiaGallo07
GiaGallo07 GiaGallo07
  • 06-11-2021
  • Mathematics
contestada

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=

Respuesta :

mhanifa
mhanifa mhanifa
  • 06-11-2021

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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