Question

Can you please walk me they how to answer this

Answer 1

For this problem we are presented with an isosceles triangle, for which we have the length of the height and one of the sides. We can determine the length of the base by using pythagora's theorem on the triangle formed between the side, height and half of the base. This is shown on the drawing below:

Applying Pythagora's theorem, we have:

`\begin{gathered} 17^2=15^2+((base)/(2))^2 \\ 289=225+(base^2)/(4) \\ (base^2)/(4)=289-225 \\ (base^2)/(4)=64 \\ \text{base}^2=256 \\ \text{base}=\sqrt[]{256} \\ \text{base}=16 \end{gathered}`

Now we can determine the perimeter of the triangle, by adding the measurements for all the sides:

`P=16+17+17=50`

For the area, we need to use the following expression:

`\begin{gathered} A=(b\cdot h)/(2) \\ A=(16\cdot17)/(2) \\ A=136 \end{gathered}`

The perimeter is equal to 50 ft.

The area is equal to 136 square ft.