mmaye754 mmaye754
  • 23-03-2022
  • Mathematics
contestada

Ok so I got the answer x=6.9 and its rounded to the nearest tenth

Ok so I got the answer x69 and its rounded to the nearest tenth class=

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semsee45
semsee45 semsee45
  • 23-03-2022

Answer:

Using the Similar Right Triangle theorem:

[tex]\mathsf{\dfrac{segment \ 1}{altitude}=\dfrac{altitude}{segment \ 2}}[/tex]

Given:

  • segment 1 = 6
  • segment 2 = 8
  • altitude = [tex]x[/tex]

[tex]\implies \dfrac{6}{x}=\dfrac{x}{8}[/tex]

[tex]\implies 48=x^2[/tex]

[tex]\implies x=\sqrt{48}[/tex]

[tex]\implies x=\sqrt{16 \cdot 3}[/tex]

[tex]\implies x=\sqrt{16} \sqrt{3}[/tex]

[tex]\implies x=4\sqrt{3}[/tex]

[tex]\implies x=6.9 \textsf{ (nearest tenth)}[/tex]

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