Math Problem Statement

What is the area, in square inches, of the right triangle with a height of 2.1 inches and a base of 6.8 inches?

Solution

The shape in the image is a right triangle, with a height of 2.1 inches and a base of 6.8 inches.

The formula for the area of a triangle is:

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

Substituting the given values:

Area=12×6.8in×2.1in\text{Area} = \frac{1}{2} \times 6.8 \, \text{in} \times 2.1 \, \text{in}

Let me calculate that for you.The area of the triangle is 7.147.14 square inches.

Would you like more details or have any questions about this solution?

Here are some related questions:

  1. How do you calculate the area of an equilateral triangle?
  2. What is the Pythagorean theorem, and how can it be applied here?
  3. How would the area change if the base were doubled but the height stayed the same?
  4. What is the perimeter of this triangle?
  5. How can you calculate the hypotenuse of this right triangle?

Tip: The area of any right triangle is always half the product of the two perpendicular sides.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Geometry
Area of Triangles

Formulas

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

Theorems

Basic Area Calculation Theorem for Triangles

Suitable Grade Level

Grades 6-8