Skill: Find area of triangles

Explanation and Free Practice Resources

Area of a triangle is determined by A=12bhA=\tfrac12 bh, where bb is a chosen base and hh is the perpendicular distance to that base, not necessarily a slanted side. This relationship can be reasoned from a parallelogram or rectangle and applied with whole-number, decimal, or simple fractional measurements, recording answers in square units; Heron’s formula, trigonometric methods, and other advanced cases are not included.

Detailed Explanation: Find area of triangles

To find the area of a triangle, use:

A=12bhA=\frac{1}{2}bh
  • bb is the length of the chosen base.
  • hh is the perpendicular height—the distance straight up or down from the base to the opposite vertex.
  • The height is not always a slanted side.
  • Area is written in square units.

Think of a triangle as half of a parallelogram or rectangle with the same base and height.

Example: Find the area of a triangle with a base of 8 cm8\text{ cm} and a perpendicular height of 5 cm5\text{ cm}.

  1. Identify the measurements:

b=8 cm,h=5 cmb=8\text{ cm}, \qquad h=5\text{ cm}
  1. Substitute them into the formula:

A=12(8)(5)A=\frac{1}{2}(8)(5)
  1. Multiply:

A=12(40)=20A=\frac{1}{2}(40)=20
  1. Include square units:

20 cm2\boxed{20\text{ cm}^2}

The area of the triangle is 20 square centimeters\boxed{20\text{ square centimeters}}.

Learn by doing: Find area of triangles

Click a topic below to practice the foundational skills you'll need, learn the steps, or master this skill

Your results

Practice with unlimited practice problems

Area of an Obtuse Triangle - On Grid - Image to Area


    ?

    Download/Modify Free Grade 6 'Find area of triangles' Worksheet

    Print this free 'Find area of triangles' worksheet to practice this skill away from the computer. Click 'Modify' to easily customize this worksheet to your exact needs.

    Units Teaching This Skill

    These adaptive units introduce, teach, or reinforce this skill (Find area of triangles) through scaffolded problems that grow in difficulty as concepts are understood.

    Explore More Grade 6 Math