Heron's formula - high school - practice problems - page 2 of 3
Number of problems found: 48
- Parallelogram
The sides of the parallelogram are 8 cm and 6 cm long, and the diagonals' angle is 60°. What is its area? - Second-longest 7659
The sides of the ABC triangle measure 39 cm, 42 cm, and 45 cm. The second-longest height of this triangle is 36 cm. What is its shortest height? - Sss triangle
Calculate the area and heights in the triangle ABC by sides a = 8cm, b = 11cm, c = 12cm - Prism-shaped 6137
The prism-shaped vessel with a rhomboid base has one base diagonal of 10 cm and the edge of the base 14 cm. The edge of the base and the prism height are in a ratio of 2:5. How many liters of water is in the container when it is filled to four-fifths of t
- Parallelogram 5027
Calculate the area of the parallelogram if the side sizes are a = 80, b = 60, and the size of the diagonal angle is 60°. - Calculate 4424
Calculate the area of the triangle ABC if a = 10 cm, c = 8 cm, ta = 6 cm. - Sides ratio
Calculate the circumference of a triangle with area 84 cm² if a:b:c = 10:17:21 - Four sides of trapezoid
The trapezoid is given by the length of four sides: 40.5 42.5 52.8 35.0. Calculate its area. - Area and two angles
Calculate the size of all sides and internal angles of a triangle ABC if it is given by area S = 501.9; and two interior angles α = 15°28' and β = 45°.
- Triangle 2668
The triangle ABC has side lengths a = 14 cm, b = 20 cm, c = 7.5 cm. Find the sizes of the angles and the area of this triangle. - Directional 2595
Calculate the interior angles of triangle ABC using vectors. Coordinates A [2; 4] B [4; 6] C [0; -4]. Calculate directional vectors of sides, parametric and general equations of sides, parametric and general equations of lines, calculate area, calculate h - Sides of the triangle
Calculate triangle sides where its area is S = 84 cm² and a = x, b = x + 1, xc = x + 2 - Triangle
Determine whether we can make a triangle with the given side lengths. If so, use Heron's formula to find the area of the triangle. a = 158 b = 185 c = 201 - Measurements of a triangle
Find the area of the triangle with the given measurements. Round the solution to the nearest hundredth if necessary. A = 50°, b = 30 ft, c = 14 ft
- The farmer
The farmer would like to first seed his small field. The required amount depends on the seed area. The field has a triangular shape. The farmer had a fenced field, so he knew the lengths of the sides: 119, 111, and 90 meters. Find a suitable way to determ - Cardboard box
We want to make a cardboard box-shaped quadrangular prism with a rhombic base. The rhombus has a side of 5 cm and 8 cm, one diagonal long. The height of the box is 12 cm. The box will be open at the top. How many square centimeters do we need if we calcul - Trapezoid - hard example
Bases of the trapezoid are: 24, 16 cm. Diagonal 22, 26 cm. Calculate its area and perimeter. - Sails
We know heights 220, 165, and 132 of sail. It has a triangular shape. What is the surface of the sail? - Park
The newly built park will be permanently placed with rotating sprayer irrigation lawns. Find the largest radius of the circle that can irrigate by sprayer P, not to spray park visitors on line AB. Distance AB = 55 m, AP = 36 m and BP = 28 m.
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See also our trigonometric triangle calculator. Examples for secondary school students. Heron's formula - practice problems.