Triangle-area Worksheet Word Problems
Are you searching for a practical and engaging way to reinforce your understanding of finding the area of triangles? Look no further! Our triangle-area worksheet word problems are specifically designed to help students grasp the concept of calculating the area of triangles in a fun and interactive manner. With carefully crafted exercises that cater to different learning styles, our worksheets provide the perfect platform for students to practice and master this fundamental mathematical skill.
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Find the area of a triangle with base 4 cm and height 6 cm.
To find the area of a triangle, you can use the formula for the area of a triangle, which is 1/2 * base * height. Substituting the values given, the area of the triangle with a base of 4 cm and a height of 6 cm would be 1/2 * 4 cm * 6 cm = 12 square cm.
A triangle has a base of 12 meters and an area of 48 square meters. What is its height?
The height of the triangle can be calculated using the formula for the area of a triangle, which is 1/2 * base * height. Given the base is 12 meters and the area is 48 square meters, we can solve for the height by rearranging the formula to height = 2 * area / base. Plugging in the values, the height of the triangle is 8 meters.
A right-angled triangle has a base of 8 inches and a hypotenuse of 10 inches. Find its height.
To find the height of the right-angled triangle, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. In this case, we have the base as 8 inches and the hypotenuse as 10 inches. Therefore, using the Pythagorean theorem, we have 10^2 = 8^2 + height^2. Solving for the height, we get height = ?(10^2 - 8^2) = ?(100 - 64) = ?36 = 6 inches. Hence, the height of the right-angled triangle is 6 inches.
The lengths of the sides of a triangle are 9 cm, 11 cm, and 13 cm. What is the area of the triangle?
Using Heron's formula, the area of the triangle with sides measuring 9 cm, 11 cm, and 13 cm would be calculated as follows: s = (9 + 11 + 13) / 2 = 16. The area A ? ?(16(16-9)(16-11)(16-13)) ? ?(16*7*5*3) ? ?(16*105) ? ?1680 ? 41.05 cm². Hence, the area of the triangle would be approximately 41.05 square centimeters.
In a triangle with side lengths 7 cm, 8 cm, and 10 cm, find the height corresponding to the longest side.
The longest side in this triangle is 10 cm, and the corresponding height can be found by using the formula for the area of a triangle, which is area = 0.5 * base * height. As the base is 8 cm, substituting the values gives us 0.5 * 8 cm * height = area. With the area calculated using Heron's formula (sqrt[s(s-a)(s-b)(s-c)], where s is the semi-perimeter), we find the height corresponding to the longest side is approximately 6.4 cm.
Find the area of an equilateral triangle with side length 5 meters.
The area of an equilateral triangle can be calculated using the formula: Area = (sqrt(3)/4) * side length^2. Substituting the given side length of 5 meters into the formula, we have Area = (sqrt(3)/4) * 5^2 = (sqrt(3)/4) * 25 = (25sqrt(3))/4 ? 10.83 square meters. Therefore, the area of the equilateral triangle with side length 5 meters is approximately 10.83 square meters.
A triangle has a base of 16 inches and a height of 12 inches. What is its area?
The area of the triangle is 96 square inches. This can be calculated using the formula for the area of a triangle, which is 0.5 times the base times the height. Therefore, 0.5 x 16 x 12 equals 96 square inches.
The base of a triangle is 15 cm and its area is 60 square cm. Find the corresponding height.
To find the corresponding height of the triangle, you can use the formula for the area of a triangle, which is 1/2 * base * height. Since the area is given as 60 square cm and the base is 15 cm, you can rearrange the formula to solve for the height. So, 1/2 * 15 cm * height = 60 square cm. Simplifying, 7.5 cm * height = 60 square cm, height = 60 square cm / 7.5 cm = 8 cm. Therefore, the corresponding height of the triangle is 8 cm.
A right-angled triangle has a hypotenuse of 5 inches and a height of 3 inches. Find the length of its base.
Using the Pythagorean theorem (a^2 + b^2 = c^2), we can find the length of the base of the triangle. Given that the hypotenuse (c) is 5 inches and the height (b) is 3 inches, we can substitute these values into the equation: a^2 + 3^2 = 5^2. Solving for a gives us a^2 + 9 = 25. Subtracting 9 from both sides, we get a^2 = 16. Taking the square root of both sides, we find that a = 4 inches. Therefore, the length of the base of the triangle is 4 inches.
In a triangle with side lengths 6 cm, 9 cm, and 12 cm, find the height corresponding to the shortest side.
To find the height corresponding to the shortest side of a triangle, we need to use the formula for the area of a triangle, which is A = 0.5 * base * height. First, we need to determine the shortest side of the triangle, which is 6 cm. Next, we need to identify the base of the triangle, which is one of the other two sides adjacent to the height we are trying to find. Since the height is perpendicular to the base, the height of the triangle corresponds to the base. Next, we can plug in the values into the formula and solve for the height: 0.5 * 6 cm * height = Area. After calculating the area using Heron's formula (because it's not a right-angled triangle), we can then find the height.
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