Question

how do u find the length in a long right angle triangle the numbers that are shown are 12m and 8m what is the other meter

Answer 1

Using the pythagorean theorem, we have:

`\begin{gathered} a^2+b^2=c^2\text{ (a and b legs, c: hypotenuse}) \\ (12)^2+(8)^2=c^2\text{ (Replacing)} \\ 144\text{ + 64 = }c^2\text{ (Raising both numbers to the power of 2)} \\ 208=c^2(\text{ Adding)} \\ \sqrt[]{208}=c\text{ (Taking the square root of both sides of the equation)} \\ 14.42\text{ =c} \\ \text{The answer is 14 m (Rounding to the nearest whole number)} \end{gathered}`