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and subtracting polynomials
Geometry:
Explain the steps in paragraphs to find the measure of the
missing side (AC) of the triangle shown below.


please help me i have more work to do in my other classes that i wont have time to do this one today :(

and subtracting polynomials Geometry Explain the steps in paragraphs to find the measure of the missing side AC of the triangle shown below please help me i hav class=

Respuesta :

Answer :

  • 10 cm

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Explanation :

  • This is Right Angled Triangle.

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Solution :

  • We'll solve this using the Pythagorean Theorem.

where,

  • AB (8 cm) is the perpendicular
  • BC (6 cm) is the Base.
  • AC is the Hypotenuse.

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We know that,

[tex] {\longrightarrow \bf \qquad (AC) {}^{2} = (AB) {}^{2} +( BC) {}^{2} }

[/tex]

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Now, we will substitute the given values in the formula :

[tex] {\longrightarrow \sf \qquad (AC) {}^{2} = (8) {}^{2} +( 6) {}^{2} }[/tex]

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We know that, (8)² = 64 and (6)² = 36. So,

[tex] {\longrightarrow \sf \qquad (AC) {}^{2} = 64 + 36 }[/tex]

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Now, adding 64 and 36 we get :

[tex] {\longrightarrow \sf \qquad (AC) {}^{2} = 100 }[/tex]

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Now, we'll take the square root of both sides to remove the square from AC :

[tex] {\longrightarrow \sf \qquad \sqrt{(AC) {}^{2}} = \sqrt{100} }[/tex]

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  • When we take the square root of (AC)² , it becomes AC

[tex] {\longrightarrow \sf \qquad AC = \sqrt{100} }[/tex]

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We know that, square root of 100 is 10 .

[tex] {\longrightarrow \bf \qquad AC = 10 }[/tex]

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So,

  • The measure of the missing side AC is 10 cm .

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