Area between two triangles

Learning Objectives Define and identify the 'area between two triangles' in a nested context. Accurately calculate the area of a single triangle using the formula. Identify the base and corresponding height for any given triangle. Apply subtraction to find the area of the region between a larger triangle and a smaller triangle nested inside it. Solve multi-step problems involving the area between two triangles. Correctly state the units for area calculations. Have you ever wondered how much space is left on a piece of paper after you cut out a smaller triangular shape from a larger one? ✂️ In this lesson, you'll learn how to calculate the space that lies between two triangles, especially when one triangle is inside another. This skill helps us understand and...

TermDefinitionExample AreaThe amount of two-dimensional space a flat shape covers, measured in square units (like square centimeters or square inches).The area of a square with sides of 5 cm is 25 square centimeters (25 cm²). TriangleA polygon (a closed 2D shape) with exactly three straight sides and three angles.A slice of pizza is often shaped like a triangle. Base of a TriangleAny side of a triangle that we choose to use for calculating its area. It's usually the side the triangle 'rests' on.If a triangle has sides of 3 cm, 4 cm, and 5 cm, we can choose any of these as the base, but often the bottom side is chosen. Height of a TriangleThe perpendicular distance from the chosen base to the opposite vertex (corner) of the triangle. It must form a 90-degree angle with the b...

Area of a Triangle Formula $A = \frac{1}{2} \times \text{base} \times \text{height}$ This formula is used to calculate the total space covered by any triangle. You need to identify its base and its corresponding perpendicular height. Area Between Nested Triangles $A_{\text{between}} = A_{\text{larger}} - A_{\text{smaller}}$ To find the area of the region between a larger triangle and a smaller triangle nested inside it, first calculate the area of each triangle separately, then subtract the smaller area from the larger area.