Heron's formula - practice problems - page 3 of 4
Direction: Solve each problem carefully and show your solution in each item.Number of problems found: 72
- 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 - 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? - Triangle's 9731
Solve the triangle ABC if the side a = 52 cm, the height on the other side is vb = 21 cm, and the triangle's area is S = 330 cm². - Calculate triangle
In the triangle, ABC, calculate the sizes of all heights, angles, perimeters, and areas if given a=40cm, b=57cm, and c=59cm. - Triangle ABC
Calculate the sides of the triangle ABC with an area of 725 cm², and if sides are in a ratio a: b: c = 9:19:11 - One trapezium
One trapezium has AB=24M, BC=36M, CD=80M, DA=80M long sides. Find the area. - Heron backlaw
Calculate the unknown side in a triangle with sides 39 and 38 and area 438.6. - Circular railway
The railway connects points A, B, and C in a circular arc, whose distances are | AB | = 30 km, AC = 95 km, and BC | = 70 km. How long will the track be from A to C? - Park
Rotating sprayer irrigation lawns will permanently surround the newly built park. Find the largest radius of the circle that can be irrigated by sprayer P, not to spray park visitors online AB. Distance AB = 55 m, AP = 36 m and BP = 28 m. - Parallelogram - area
Calculate the area of the parallelogram if the sides are a = 80, b = 60 long, and the size of the diagonal angle is 60°. - Calculate
Two friends Mário and Jano lived on two different sides of a highway. They decided to find out how wide it was. Mário drew a picture, based on which they then made measurements the next day. They measured the values a =5m, b= 5.9 m, and d = 5 m. Calcula - Irregular hexagon
There is an irregular hexagon whose sides are the same length. The opposite sides are parallel; their distance is 237, 195, and 193. What is its area? - Gardens
The square garden is 3/4 of the area of the triangular garden, which has sides of 80 m, 50 m, and 50 m. How many meters of fence do we need to fence a square garden? - A Cartesian framework
1. In a Cartesian framework, the functions f and g we know that: The function (f) is defined by f (x) = 2x², the function (g) is defined by g (x) = x + 3, the point (O) is the origin of the reference, and point (C) is the point of intersection of the grap - Triangle
Plane coordinates of vertices: K[9, 5] L[-4, 8] M[3, 20] give Triangle KLM. Calculate its area and its interior angles. - 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°. - 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 ratio
Calculate the circumference of a triangle with an area of 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. - Circumference 64104
The ABC triangle has a circumference of 11 cm. Triangle A'B'C ', similar to triangle ABC, has side lengths of 6 cm, 120 mm, and 1.5 dm larger than triangle ABC. Calculate the area of the triangle A'B'C '.
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