Math Problem Statement

Find the area of the triangle with base 17 m and height 18 m.

Solution

To find the area of a triangle, the formula is:

Area=12×base×height\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}

Given in the question:

  • Base =17m= 17 \, \text{m}
  • Height =18m= 18 \, \text{m}

Plug these values into the formula:

Area=12×17×18\text{Area} = \frac{1}{2} \times 17 \times 18

Area=12×306\text{Area} = \frac{1}{2} \times 306

Area=153m2\text{Area} = 153 \, \text{m}^2

So, the area of the triangle is 153m2153 \, \text{m}^2.

Would you like a detailed explanation or have any other questions? Here are 5 related questions to consider:

  1. How would the area change if the base of the triangle were doubled?
  2. What is the formula for finding the area of different shapes like rectangles or circles?
  3. How would you find the height of a triangle if the area and base are given?
  4. What units are used for measuring the area, and why?
  5. How does the concept of area apply to real-world situations like construction or landscaping?

Tip: When calculating the area of shapes, always double-check that your units are consistent throughout the calculation.

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Math Problem Analysis

Mathematical Concepts

Geometry
Area of Triangle

Formulas

Area = 1/2 * base * height

Theorems

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Suitable Grade Level

Grades 6-8