108k views
5 votes
Please help me, i dont know how or what to do

Please help me, i dont know how or what to do-example-1
User Dimitry
by
7.8k points

1 Answer

7 votes

From the given figure

There is a right triangle whose legs are x and 99, its hypotenuse is (x + 81)

By using the Pythagorean theorem


\begin{gathered} x^2+99^2=(x+81)^2 \\ x^2+9801=(x)(x)+(x)(81)+(x)(81)+(81)(81) \\ x^2+9801=x^2+81x+81x+6561 \end{gathered}

Add the like terms on the right side


x^2+9801=x^2+162x+6561

Subtract x^2 from both sides


\begin{gathered} x^2-x^2+9801=x^2-x^2+162x+6561 \\ 9801=162x+6561 \end{gathered}

Subtract 6561 from both sides


\begin{gathered} 9801-6561=162x+6561-6561 \\ 3240=162x \end{gathered}

Divide both sides by 162


\begin{gathered} (3240)/(162)=(162x)/(162) \\ 20=x \end{gathered}

The value of x is 20

User Math Chiller
by
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories