Math Problem Statement

Find the area of the right triangle given base = 4 and height = 4.5.

Solution

The given image shows a right triangle ABC\triangle ABC with:

  • BC=4.5BC = 4.5 (height)
  • CA=4CA = 4 (base)
  • ABAB (hypotenuse) is not required for area calculation.

The area SS of a right triangle is given by:

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

S=12×4×4.5S = \frac{1}{2} \times 4 \times 4.5

S=12×18=9S = \frac{1}{2} \times 18 = 9

Thus, the area of the triangle is 9 square units.

Would you like a step-by-step breakdown or have any questions?

Related Questions:

  1. How do you find the hypotenuse using the Pythagorean theorem?
  2. What is the perimeter of this triangle?
  3. How do you calculate the area of a right triangle with different given parameters?
  4. What are the properties of a right triangle?
  5. Can the same formula be used for non-right triangles?

Tip: Always check the given values to ensure you are using the correct base and height for area calculations.

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Math Problem Analysis

Mathematical Concepts

Geometry
Triangle Area
Right Triangles

Formulas

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

Theorems

Basic Area Formula for Triangles

Suitable Grade Level

Grades 6-8