Why are the solutions to the proportions StartFraction 40 over 8 EndFraction = StartFraction x over 10 EndFraction and StartFrac
2 answers:
You might be interested in
Answer:
<u><em>C. </em></u><u><em> cm</em></u>
Step-by-step explanation:
<u><em>First, we can start out by stating that this is a </em></u><u><em>right triangle</em></u><u><em>, since </em></u><u><em>it has a right angle</em></u><u><em>, shown by the marker square in the corner of the triangle. </em></u><u><em>The x part, is called the hypotenuse</em></u><u><em>. When finding the value of the hypotenuse, we use a thing called the </em></u><u><em>Pythagorean Theorem.</em></u><u><em> This theorem is :</em></u>
<u><em>a^2 + b^2 = c^2</em></u>
<u><em>a is one side length, and b is the other. c is the hypotenuse.</em></u><u><em> To find x, the hypotenuse, we simply </em></u><u><em>plug in the values, and solve.</em></u>
<u><em>8^2 + 5^2 = c^2</em></u>
<u><em>64 + 25 = c^2</em></u>
<u><em>89 = c^2</em></u>
<u><em>To get c alone, we do the </em></u><u><em>square root of 89.</em></u>
<u><em></em></u><u><em> = c</em></u>
<u><em>9.43398113 = c</em></u>
<u><em>So, the answer is </em></u><u><em>C. </em></u><u><em> cm</em></u>