Question

find the area of the triangle. 10.4ft 16.9ft ?ft² enter the exact answer. do not round.

Explanation:

Step1: Recall the area formula for a triangle

The formula for the area of a triangle is \(A=\frac{1}{2}\times base\times height\). Here, the base \(b = 16.9\) ft and the height \(h=10.4\) ft.

Step2: Substitute the values into the formula

Substitute \(b = 16.9\) and \(h = 10.4\) into \(A=\frac{1}{2}\times b\times h\). So, \(A=\frac{1}{2}\times16.9\times10.4\).
First, calculate \(16.9\times10.4=(17 - 0.1)\times10.4=17\times10.4-0.1\times10.4 = 176.8-1.04=175.76\).
Then, \(A=\frac{1}{2}\times175.76\).

Step3: Calculate the final value

\(A = 87.88\)

Answer:

\(87.88\)