two triangular walls of fly over has been used for advertisement . the sides of each wall are 100m ,80m,and 40m. find the amount of revenue earned in one year .

To find the amount of revenue earned from advertising on two triangular walls, we need to first calculate the area of each wall. Since the sides of the triangular walls are given as 100m, 80m, and 40m, we can use **Heron's formula** to find the area of the triangle.

### Steps to solve:

#### Step 1: Use Heron's formula
Heron's formula is used to find the area of a triangle when all three sides are known. The formula is:
\[
\text{Area} = \sqrt{s(s-a)(s-b)(s-c)}
\]
where \( s \) is the semi-perimeter, and \( a \), \( b \), and \( c \) are the sides of the triangle.

#### Step 2: Calculate the semi-perimeter \( s \)
\[
s = \frac{a + b + c}{2} = \frac{100 + 80 + 40}{2} = 110 \, \text{m}
\]

#### Step 3: Calculate the area
\[
\text{Area} = \sqrt{110(110 - 100)(110 - 80)(110 - 40)} = \sqrt{110(10)(30)(70)}
\]
Let's compute this now.The area of one triangular wall is approximately 1519.87 square meters.

### Step 4: Find the total area for both walls
Since there are two triangular walls, the total area used for advertisement is:
\[
\text{Total area} = 2 \times 1519.87 = 3039.74 \, \text{square meters}
\]

### Step 5: Determine revenue
If you have the rate of revenue per square meter for the advertisement, you can multiply it by the total area to find the total revenue earned in one year. For instance, if the revenue per square meter per year is \( R \) currency units, the total revenue \( T \) would be:
\[
T = 3039.74 \times R
\]

Do you have the revenue rate per square meter? If so, I can help you calculate the final revenue.

Let me know if you need further clarification or additional details!

### Related Questions:
1. How is Heron’s formula useful for irregular triangles?
2. What if one of the sides of the triangle is changed? How would that affect the area?
3. How can you estimate revenue from different geometric shapes?
4. Can Heron’s formula be applied to other polygons? Why or why not?
5. How can knowing a triangle’s angles affect the calculation of its area?

**Tip:** Always verify that the sum of any two sides of a triangle is greater than the third side; otherwise, a triangle is not possible.

Learn how to calculate the area of two triangular walls used for advertisement with sides of 100m, 80m, and 40m using Heron's formula. Understand how to compute the total area and estimate the annual revenue from the advertisement. Suitable for students in Grades 10-12.

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