Question

AcellusWhat is the measure of m?n20m5m == [?]Give your answer in simplest form.Enter

Answer 1

`m=\sqrt[]{125}`

1) Examining that right triangle, and deriving from the similarity ratios, we can write down the following formulas:

`\begin{gathered} n^2=20\cdot5 \\ n^2=100 \\ \sqrt[]{n^2}=\sqrt[]{100} \\ n=10 \end{gathered}`

Note that in this equation, we are not taking into consideration the negative 10 as a possible result since dimensions can only be written as positive numbers.

2) Now, with the length of the height (n) we can find the length of that hypotenuse m using this formula:

`\begin{gathered} m^2=25\cdot5 \\ \sqrt[]{m^2}=\sqrt[]{25\cdot5} \\ m=\sqrt[]{125} \end{gathered}`

And that is the answer.