Math Problem Statement

Find the area of a triangle with a base of 10 units and a height of a 5 units

Solution

To find the area of a triangle, you can use the formula:

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

Given:

  • Base = 10 units
  • Height = 5 units

Substitute these values into the formula:

Area=12×10×5=12×50=25square units\text{Area} = \frac{1}{2} \times 10 \times 5 = \frac{1}{2} \times 50 = 25 \, \text{square units}

Thus, the area of the triangle is 25 square units.

Would you like further details or have any questions?

Here are 5 related questions to deepen your understanding:

  1. What is the area of a triangle if the base is doubled but the height stays the same?
  2. How would the area change if the base is 10 units, but the height is reduced to 3 units?
  3. What is the area of a triangle with a base of 7 units and a height of 8 units?
  4. How can you calculate the height if the area and base of a triangle are known?
  5. What is the relationship between the area of a triangle and its perimeter?

Tip: The base and height of a triangle must be perpendicular to each other for the formula to apply.

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Math Problem Analysis

Mathematical Concepts

Geometry
Area of Triangles

Formulas

Area = 1/2 × Base × Height

Theorems

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Suitable Grade Level

Grades 5-7