Math Problem Statement

Find the base and height of the given triangle.

Solution

From the image, the given triangle has the following labeled dimensions:

  • The hypotenuse is 8 m.
  • One leg (height) is 6 m.
  • The base of the triangle is 12 m.

Finding the missing values:

  1. Base:
    The base is clearly labeled as 12 meters.

  2. Height:
    The height is shown as 6 meters.

Thus, the answers are:

  • Base = 12 m
  • Height = 6 m

Would you like a deeper explanation on how to find these values?

Related Questions:

  1. How do you calculate the area of this triangle?
  2. What is the length of the missing side using the Pythagorean theorem?
  3. How do you find the perimeter of the triangle?
  4. What type of triangle is this based on its side lengths?
  5. How can trigonometry (sine, cosine, tangent) be used to verify the triangle's angles?

Tip:

The area of a triangle is given by the formula:
Area=12×Base×Height\text{Area} = \frac{1}{2} \times \text{Base} \times \text{Height}
For this triangle:
Area=12×12×6=36 m2\text{Area} = \frac{1}{2} \times 12 \times 6 = 36 \text{ m}^2

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Math Problem Analysis

Mathematical Concepts

Geometry
Triangles
Basic Measurement

Formulas

Area of a Triangle = (1/2) × Base × Height

Theorems

Pythagorean Theorem (if needed)

Suitable Grade Level

Grades 6-8