Math Problem Statement

If x = 15 and h = 8, what is the area of the triangle?

Solution

The area of a triangle can be calculated using the formula:

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

Here:

  • x=15x = 15 represents the base of the triangle.
  • h=8h = 8 represents the height.

Substitute the given values into the formula:

Area=12×15×8\text{Area} = \frac{1}{2} \times 15 \times 8

Area=12×120=60\text{Area} = \frac{1}{2} \times 120 = 60

Thus, the area of the triangle is 60 square units.


Would you like further details or have any questions?

Here are 5 related questions to explore:

  1. What happens to the area if the base is doubled?
  2. How would you calculate the area of a triangle with a given perimeter instead?
  3. How does the formula change for an equilateral triangle if only the side length is known?
  4. Can the area formula be derived geometrically? If so, how?
  5. How does changing the units of base and height affect the area?

Tip: Always ensure the base and height are perpendicular to each other when using the triangle area formula!

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Math Problem Analysis

Mathematical Concepts

Geometry
Area Calculation
Triangles

Formulas

Area of a triangle = (1/2) × base × height

Theorems

Basic properties of triangles

Suitable Grade Level

Grades 5-7