Math Problem Statement

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Solution

The problem asks you to find the area of the triangle in the image.

The formula for the area of a triangle is:

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

From the image, the base of the triangle is 9 cm, and the height is 6 cm.

Substituting these values into the formula:

Area=12×9cm×6cm=12×54cm2=27cm2\text{Area} = \frac{1}{2} \times 9 \, \text{cm} \times 6 \, \text{cm} = \frac{1}{2} \times 54 \, \text{cm}^2 = 27 \, \text{cm}^2

It seems there is a misunderstanding since 27 cm² is not among the provided options. I suspect the figure might actually involve combining more triangles or considering additional geometric components, based on the other parts of the image.

Please let me know if you'd like me to help clarify this further or provide the details based on more advanced understanding of the image.

Relative questions:

  1. How does the type of triangle affect the calculation of its area?
  2. What additional properties could make this triangle's area calculation more complex?
  3. How would the area change if the base or height increased by 50%?
  4. Can this triangle be part of a larger geometric shape?
  5. How would you use the Pythagorean theorem to find any missing sides if required?

Tip: Always recheck geometric figures to ensure all dimensions are considered when solving area-related problems.

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Math Problem Analysis

Mathematical Concepts

Geometry
Area of Triangle

Formulas

Area of Triangle = 1/2 * base * height

Theorems

Pythagorean Theorem

Suitable Grade Level

Grade 7-9