Math Problem Statement

Work out the area of this triangle with a base of 8 cm and a height of 6 cm.

Solution

This is a right-angled triangle with a base of 8 cm and a height of 6 cm. The area AA of a triangle can be calculated using the formula:

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

Substitute the given values:

A=12×8cm×6cm=12×48=24cm2A = \frac{1}{2} \times 8 \, \text{cm} \times 6 \, \text{cm} = \frac{1}{2} \times 48 = 24 \, \text{cm}^2

Thus, the area of the triangle is 24 cm².

Would you like further details or have any questions? Here are 5 related questions to explore further:

  1. How would you calculate the perimeter of this triangle?
  2. How would the area change if the height was doubled?
  3. What is the length of the hypotenuse using the Pythagorean theorem?
  4. How do you find the area of an equilateral triangle?
  5. What would the area be if both the base and height were halved?

Tip: For any right-angled triangle, knowing two sides allows you to calculate the third side using the Pythagorean theorem.

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Math Problem Analysis

Mathematical Concepts

Geometry
Area of Triangle
Right-Angled Triangles

Formulas

Area of a triangle: A = 1/2 * base * height

Theorems

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Suitable Grade Level

Grades 6-8