Question

SchoYou plan to build a path along one diagonal of a 100 ft-by 100 ft square garden. To the nearest foot, how longwill the path be?Coud Comx✓Submitlooft100RUS

Answer 1

A Right triangle is a triangle that has an angle whose measure is 90 degrees.

A 45°-45°-90°-degree triangle is a Right triangle that has two angles that measure 45 degrees. This triangle has two sides of equal length.

You can identify that the triangle given in the exercise is a 45°-45°-90°-degree triangle.

According to the 45°-45°-90° Triangle theorem:

`hypotenuse=\sqrt[]{2}\cdot leg`

In this case:

`\begin{gathered} hypotenuse=x \\ leg=100ft \end{gathered}`

Substituting values into the equation and evaluating, you get that length of the path will be the following:

`\begin{gathered} x=(\sqrt[]{2})(100ft) \\ x=100\sqrt[]{2}ft \\ x\approx141.42ft \end{gathered}`

The answer is:

`x\approx141.42ft`