Question

Kate wants to paddleher canoe across the lake. To determine howfar she must paddle, she paced out a triangle,counting the number of strides, as shown.a. If Kate's strides average 3.5 ft, what is thelength of the longest side of the triangle?b. What distance must Kate paddle acrossthe lake? 80150250

Answer 1

a) First we need to calculate the longest side of the triangle.

It was not indicated if it is a right angle triangle.

In a right angled triangle, the longest side of the triangle is said to be the hypothenuse.

To determine the longest side of the triangle, we would sum the lengths of the slant side:

= 150 + 150

= 300

since the average is 3.5 ft,

the longest side in feet:

= 300× 3.5ft

the longest side in feet= 1050ft

b) the distance kate must paddle is given as:

let x be = the base of the short triangle.

`\frac{x}{150\text{ }}=\text{ }(250)/(300)`
`\begin{gathered} 300x\text{ = 250 }*\text{ 150 } \\ x\text{ = }(250*150)/(300) \end{gathered}`
`\begin{gathered} x\text{ = }(250)/(2)\text{ } \\ x\text{ = 125} \end{gathered}`

Average = 3.5ft

The distance Kate must paddle the lake

= 125×3.5ft

= 437.5ft