Answered

12. Use Pythagorean Theorem to find the length of b.13ft5ftb

12 Use Pythagorean Theorem To Find The Length Of B13ft5ftb class=

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NoahBadillaviz

[tex]\large\underline{\mathbb{QUESTION}:}[/tex]

Find the length of b using Pythagorean Theorem.

[tex]\large\underline{\mathbb{ANSWER}:}[/tex]

  • 12 feet

[tex]\large\underline{\mathbb{SOLUTION}:}[/tex]

Formula:

  • [tex]a^{2} +b^{2} =c^{2}[/tex] ⇒ Pythagorean Theorem

Use the Pythagorean theorem, with a = 5 and c = 13:

  • [tex]5^{2} +b^{2} =13^{2}[/tex]

Square:

  • [tex]25 +b^{2} =169[/tex]

Subtract 25 from both sides:

  • [tex]b^{2} =144[/tex]

Take the square root of both sides:

  • [tex]\sqrt{b^{2} } = \sqrt{144}[/tex]

Then simplify:

  • [tex]b = 12[/tex]

So the length of b is 12 feet.

([tex]\sf \: b = 12[/tex])

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