Area of a triangle worksheets

The triangle is half of the rectangle around it, and the one number that decides its area is the perpendicular height — never the slant side. These free printable worksheets drill triangles alone, with that height drawn as a dashed line.

Kid stuck on one? You don’t just get the sheet.

Area of a triangle
Area of a triangle worksheet — Bases and heights to 30 cm, free printable with answer key

The answer key prints on a separate page.

What's on this sheet

This sheet cuts one figure out of the mixed area page, which hands a child triangles, parallelograms, and trapezoids in turn. Here every question is a triangle, so a child practices the halving step until it is automatic before the harder job of choosing between formulas arrives.

Why this sheet works

The height is dashed and carries a right-angle mark where it meets the base, and no slant side is ever labeled. That is the mistake this standard is about: a child who reaches for the sloping edge gets a number that is too big. Read the dashed line first, multiply it by the base, then take half.

How this one works

One question from this sheet, worked through a step at a time.

Area of a 13 by 8 triangle

13 cm 8
  1. A triangle. Two of its numbers matter and they are not the two longest lines — find them before working anything out.
  2. The base is the side it stands on: 13 cm.
  3. The height is the DASHED line — straight up from the base, at a right angle to it: 8 cm. It is not the sloping side, even though the sloping side is longer and is written right next to it.
  4. Now the halving. Turn a second copy of the triangle upside down against this one and the two together make a parallelogram — 13 × 8 = 104. The triangle is exactly half of it.
  5. So half of 104 is 52 square cm.