7th Grade Math Worksheets Area of Triangle

Are you searching for reliable and effective worksheets to help your 7th grade students grasp the concept of finding the area of a triangle? Look no further! In this blog post, we will explore a variety of engaging worksheets that focus specifically on this topic, providing your students with ample opportunities to practice and master their skills.

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What is the formula to find the area of a triangle?

The formula to find the area of a triangle is A = 1/2 * base * height, where A is the area of the triangle, the base is the length of the triangle's base, and the height is the perpendicular distance from the base to the opposite vertex.

Given the base and height of a triangle, how can you calculate its area?

To calculate the area of a triangle, you need to multiply the base of the triangle by the height of the triangle and then divide the result by 2. The formula for calculating the area of a triangle is: Area = (base x height) / 2. By plugging in the values of the base and height into this formula, you can easily determine the area of the triangle.

If the base and height of a triangle are 5cm and 8cm respectively, what is its area?

The area of a triangle is calculated using the formula: A = 0.5 * base * height. Substituting the values given, the area of the triangle would be A = 0.5 * 5cm * 8cm = 20 square centimeters. Thus, the area of the triangle would be 20 square centimeters.

How does the area of a triangle change if you double the length of its base?

If you double the length of the base of a triangle, the area of the triangle will also double. This is because the area of a triangle is directly proportional to the length of its base when its height remains constant. So, increasing the base by a factor of 2 will result in the area increasing by the same factor of 2.

What is the area of an equilateral triangle with a side length of 6cm?

The area of an equilateral triangle with a side length of 6cm is approximately 15.6 square centimeters, which can be calculated using the formula: Area = (?3/4) x side length squared.

How can you find the area of a triangle if you know the lengths of all three sides (Heron's formula)?

To find the area of a triangle using Heron's formula, first calculate the semiperimeter of the triangle by adding the lengths of all three sides together and dividing by 2. Then, use the formula A = ?(s*(s-a)*(s-b)*(s-c)), where A is the area of the triangle, s is the semiperimeter, and a, b, c are the lengths of the three sides. Plug in the values of s, a, b, and c into the formula and solve to find the area of the triangle.

If the lengths of the sides of a triangle are 7cm, 9cm, and 12cm, what is its area using Heron's formula?

The semi-perimeter of the triangle is (7 + 9 + 12) / 2 = 14. The area of the triangle using Heron's formula is the square root of [14 * (14-7) * (14-9) * (14-12)], which simplifies to ?(14 * 7 * 5 * 3) = ?(1470) = 38.34 square centimeters.

How does the area of a triangle change if you double the lengths of all its sides?

If you double the lengths of all sides of a triangle, the area of the triangle will increase by a factor of 4. This is because the area of a triangle is directly proportional to the square of the lengths of its sides. Therefore, by doubling the length of each side, you are effectively increasing the area by 2x2 = 4 times the original area.

How can you calculate the area of a right triangle if you know the lengths of its two legs?

To calculate the area of a right triangle when you know the lengths of its two legs (a and b), you can use the formula: Area = 0.5 x base x height, where the base is one of the legs and the height is the length of the other leg. Alternatively, you can use the formula Area = 0.5 x leg1 x leg2, where leg1 and leg2 are the lengths of the two legs of the right triangle. Simply plug in the values for the lengths of the legs into one of these formulas to find the area of the right triangle.

If the legs of a right triangle are 10cm and 15cm, what is its area?

The area of a right triangle is calculated using the formula 1/2 x base x height. In this case, the legs of the triangle are the base and height. Therefore, the area of the triangle is 1/2 x 10cm x 15cm = 75 square cm.