Math Problem Statement

The area A of a triangle with base b and height h is given by A = (1/2)bh. Find the area when b = 18 m and h = 30 m.

Solution

The formula for the area AA of a triangle is given by:

A=12×b×hA = \frac{1}{2} \times b \times h

where bb is the base, and hh is the height.

In this problem:

  • b=18b = 18 meters
  • h=30h = 30 meters

Substituting these values into the formula:

A=12×18×30A = \frac{1}{2} \times 18 \times 30

Let's calculate the area.The area of the triangle is 270270 square meters.

Would you like more details or have any questions? Here are some related questions:

  1. What is the formula for the area of a triangle using trigonometry?
  2. How would the area change if both the base and height were doubled?
  3. Can you calculate the perimeter of a triangle given its three sides?
  4. How does the formula for the area of a triangle apply to a right triangle?
  5. What are other geometric shapes that use a similar area formula?

Tip: Always ensure units are consistent when calculating area or volume to avoid errors.

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Math Problem Analysis

Mathematical Concepts

Geometry
Area of a Triangle

Formulas

A = (1/2) * base * height

Theorems

Area formula for triangles

Suitable Grade Level

Grades 6-8