Question

The pythagorean theorem ​

Answer 1

your answer should be 7. using the phythagorean theorem, your equation would be x^2+13^2= square root of 218^2. once solved, you get that x equals 7.

Answer 2

Hii student!

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`\leadsto\parallel\boldsymbol{Answer.}\parallel\gets`

Option a

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`\leadsto\parallel\boldsymbol{Explanation.}\parallel\gets`

We can use the Pythagorean Theorem (below) to solve for x, the shorter leg of the right triangle.

The Pythagorean Theorem

`\bullet\,\,\,\boldsymbol{a^2+b^2=c^2.}\bullet`. in which a and b are the two legs of the right triangle, and c is the hypotenuse, the longest side of the right triangle. This side is opposite the right angle (
`90\textdegree`).

In this problem we're given

• Hypotenuse =
  `√(218)`
• Long Leg =
  `\boldsymbol{13}`.

and we're asked to solve for x, the short leg.

So we stick in the values into the formula.

`\boldsymbol{13^2+b^2=(√(218))^2}`

Simplify!

`\boldsymbol{169+b^2=218}`

Simplify!

`\boldsymbol{b^2=218-169}`

`\boldsymbol{b^2=49}`

Next, take the square root of both sides

`\boldsymbol{b=7}`

`\boldsymbol{\therefore,\:the\:answer\:is\:option\:a}`

Hope that this helped! Best wishes.

`\textsl{Reach far. Aim high. Dream big.}`

`\boldsymbol{-Greetings!-}`

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