6 — Triangle Areas

Triangle Areas

Solution & Explanation · ID: E8971B55

Question

A triangle has a base of 14 inches and a height of 8 inches. What is its area?

Hint

First multiply the base and height together, then multiply by ½.

Concept

The area of a triangle equals half the product of its base and height. This works for any triangle when the height is measured perpendicular to the base.

Show Answer

56 square inches

Show Solution
1

Identify the given measurements: base = 14 inches, height = 8 inches

2

Use the triangle area formula: A = ½ × base × height

3

Substitute the values: A = ½ × 14 × 8

4

Calculate: A = ½ × 112 = 56 square inches

A triangle with base labeled '14 in' along the bottom edge. A dashed vertical line shows the height labeled '8 in' perpendicular to the base. Inside the triangle is written 'Area = 56 sq in'. The calculation A = ½ × 14 × 8 = ½ × 112 = 56 is shown below the triangle.