nataliebarreras40
nataliebarreras40 nataliebarreras40
  • 07-10-2021
  • Mathematics
contestada

Find the missing side of each triangle.

A) 10 cm
C) 17.1 cm
E) 5.8 cm
B) 11.4 cm
D) 13.8 cm

Find the missing side of each triangle A 10 cm C 171 cm E 58 cm B 114 cm D 138 cm class=

Respuesta :

ghaithgh
ghaithgh ghaithgh
  • 07-10-2021

Answer:

The choice B) 11.4

Step-by-step explanation:

[tex] {x}^{2} + {(5.5)}^{2} = {(12.7)}^{2} \\ {x}^{2} + 30.25 = 161.29 \\ {x}^{2} = 13104 \\ x = 11.4[/tex]

Answer Link
DᴀʀᴋPᴀʀᴀᴅᴏx
DᴀʀᴋPᴀʀᴀᴅᴏx DᴀʀᴋPᴀʀᴀᴅᴏx
  • 07-10-2021

By using Pythagoras theorem :

  • [tex] {x}^{2} = (12.7) {}^{2} - (5.5)x {}^{2} [/tex]

  • [tex] {x}^{2} = 161.29 - 30.25[/tex]

  • [tex] {x}^{2} =131.04[/tex]

  • [tex]x = \sqrt{131.04} [/tex]

  • [tex]x = 11.4[/tex]

Correct choice is B

Answer Link

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