Math Problem Statement

What is the area of Triangle D

What is the area of Triangle D?

Solution

To find the area of Triangle D in the image:

The area AA of a triangle is calculated using the formula:

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

From the image:

  • Base = 3 cm
  • Height = 4 cm

Substituting the values:

A=12×3×4=12×12=6cm2A = \frac{1}{2} \times 3 \times 4 = \frac{1}{2} \times 12 = 6 \, \text{cm}^2

Final Answer:

The area of Triangle D is 6 cm².

Would you like further explanation or additional calculations?

Here are 5 related questions for exploration:

  1. How do you calculate the perimeter of this triangle if the slant heights are given?
  2. What is the formula for finding the area of different types of triangles?
  3. How can you calculate the height of a triangle if only the area and base are provided?
  4. How does this triangle relate to similar figures with proportional dimensions?
  5. What are the properties of a right triangle like this one?

Tip: Always double-check the given measurements and ensure they align with the appropriate triangle dimensions.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Geometry
Area of a Triangle
Right Triangles

Formulas

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

Theorems

Pythagorean Theorem (if needed for slant heights)

Suitable Grade Level

Grades 6-8