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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=

Sagot :

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]

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