Respuesta :

guzickiriley

Answer:

yes it is a right triangle if you look closely at triangle ABC there is a right triangle mark the little square

mhanifa

Part A

Use Pythagorean theorem to confirm the right triangle:

  • AB² + BC² = AC²
  • 12² + 5² = 13²
  • 144 + 25 = 169
  • 169 = 169

Confirmed

Part B

The triangles are similar:

  • ΔABC ~ ΔRST

Corresponding sides have same ratio:

  • AB/RS = AC/RT

Substitute known values and find the missing length:

  • 12/24 = 13/RT
  • 1/2 = 13/RT
  • RT = 13*2
  • RT = 26

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