Question

find the area of the triangle below. be sure to include the correct unit in your answer. 10 ft, 34 ft, 36 ft (with a right - angled triangle image)

Explanation:

Step1: Identify triangle type

This is a right - triangle (has a right - angle symbol), so we can use the formula for the area of a right - triangle $A=\frac{1}{2}\times base\times height$.

Step2: Determine base and height

In a right - triangle, the two legs (the sides forming the right angle) can be considered as the base and the height. Here, the legs are $10\ ft$ and $24\ ft$.

Step3: Calculate the area

Using the formula $A = \frac{1}{2}\times base\times height$, substitute base $ = 24\ ft$ and height $ = 10\ ft$. So $A=\frac{1}{2}\times24\times10$. First, calculate $24\times10 = 240$, then $\frac{1}{2}\times240=120$.

Answer:

The area of the triangle is $120$ square feet.