6 — Triangle Areas

Triangle Areas

Solution & Explanation · ID: FAA109CE

Question

Find the area of a triangle with a base of 15.2 cm and a height of 8.6 cm.

Hint

Take your time with decimal multiplication. Double-check your calculation of 15.2 × 8.6.

Concept

Triangle area calculations with decimal measurements require careful multiplication. We multiply the decimals first, then take half of the result.

Show Answer

65.36 square centimeters

Show Solution
1

Identify the given measurements: base = 15.2 cm, height = 8.6 cm

2

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

3

Substitute the values: A = ½ × 15.2 × 8.6

4

Calculate: 15.2 × 8.6 = 130.72

5

Find half: A = ½ × 130.72 = 65.36 square centimeters

A triangle with base labeled '15.2 cm' along the bottom edge. A dashed vertical line shows the height labeled '8.6 cm' perpendicular to the base. Inside the triangle is written 'Area = 65.36 sq cm'. Below the triangle shows the multiplication: 15.2 × 8.6 = 130.72, then ½ × 130.72 = 65.36.