wikiHow Practice Problems to Calculate the Area of a Triangle To calculate the area of a triangle, you need to know the base and the height of the triangle. The formula for the area of a triangle is: Area = (base * height) / 2 For example, if the base of the triangle is 5 units and the height is 6 units, the area of the triangle can be calculated as follows: Area = (5 units * 6 units) / 2 = 15 square units So the triangle with a base of 5 units and a height of 6 units has an area of 15 square units. To calculate the area of a triangle, you can use the formula and plug in the known base and height to get the result. Practice Problems: 1. A triangle has a base of 5 units and a height of 6 units. What is the area of the triangle in square units? 2. A triangle has a base of 7 units and a height of 8 units. What is the area of the triangle in square units? 3. A triangle has a base of 9 units and a height of 10 units. What is the area of the triangle in square units? 4. A triangle has a base of 12 units and a height of 15 units. What is the area of the triangle in square units? 5. A roof has a triangular shape with a base of 20 feet and a height of 25 feet. What is the area of the roof in square feet? 6. A kite has a diamond shape and the two diagonal sides measure 20 inches and 30 inches. What is the area of the kite in square inches? 7. A flag has a triangular shape with a base of 12 feet and a height of 8 feet. What is the area of the flag in square feet? Answer Key: 1. Solution: The formula to calculate the area of a triangle is (base * height) / 2. Area = (5 units * 6 units) / 2 = 15 square units 2. Solution: The formula to calculate the area of a triangle is (base * height) / 2.. Area = (7 units * 8 units) / 2 = 28 square units 3. Solution: The formula to calculate the area of a triangle is (base * height) / 2.. Area = (9 units * 10 units) / 2 = 45 square units 4. Solution: The formula to calculate the area of a triangle is (base * height) / 2.. Area = (12 units * 15 units) / 2 = 90 square units 5. Solution: To find the area of the roof, use the formula for the area of a triangle: (base * height) / 2. Area = (20 feet * 25 feet) / 2 = 250 square feet 6. Solution: The kite can be divided into two congruent right triangles. To find the height, use the Pythagorean theorem: h^2 = (20/2)^2 + (30/2)^2 = 100 + 225 = 325. Then take the square root of 325 to get the height: h = 18. To find the area of the kite, use the formula for the area of a triangle: (base * height) / 2. Area = (20 inches * 18 inches) / 2 = 180 square inches 7. Solution: To find the area of the flag, use the formula for the area of a triangle: (base * height) / 2. Area = (12 feet * 8 feet) / 2 = 48 square feet Page