Math Problem Statement

resuelve

Calcula el área de la región sombreada en un triángulo rectángulo con base 20 m y altura 12 m.

Solution

The image contains a right triangle with the instruction in Spanish asking to calculate the area of the shaded region. The dimensions of the triangle are given as:

  • Height = 12 m
  • Base = 20 m

The formula for the area of a right triangle is:

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

Let me calculate the area.The area of the shaded region is 120m2120 \, \text{m}^2.

Would you like any further details or clarifications?

Here are 5 related questions:

  1. What is the perimeter of the triangle?
  2. How do you find the hypotenuse of a right triangle?
  3. If the base was increased by 5 meters, how would the area change?
  4. How does the Pythagorean theorem apply to this triangle?
  5. Can the area be calculated using trigonometric functions?

Tip: When solving for the area of a triangle, always ensure you know whether it’s a right triangle to use the simplified formula for area.

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Math Problem Analysis

Mathematical Concepts

Geometry
Area of a Triangle

Formulas

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

Theorems

Pythagorean Theorem (if the hypotenuse is involved)

Suitable Grade Level

Grades 7-9