6 — Triangle Areas

Triangle Areas

Solution & Explanation · ID: B172E9B9

Question

Find the area of a triangle with a base of 6.4 centimeters and a height of 5.5 centimeters.

Hint

Be careful when multiplying decimals. You can check your work by using 0.5 instead of ½.

Concept

Triangle area calculations work with decimal measurements too. We use the same formula A = ½ × base × height and multiply the decimals carefully.

Show Answer

17.6 square centimeters

Show Solution
1

Identify the given measurements: base = 6.4 cm, height = 5.5 cm

2

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

3

Substitute the values: A = ½ × 6.4 × 5.5

4

Calculate: 6.4 × 5.5 = 35.2

5

Find half: A = ½ × 35.2 = 17.6 square centimeters

A triangle with base labeled '6.4 cm' along the bottom edge. A dashed vertical line shows the height labeled '5.5 cm' perpendicular to the base. Inside the triangle is written 'Area = 17.6 sq cm'. The calculation shows: 6.4 × 5.5 = 35.2, then ½ × 35.2 = 17.6.