Heron's formula - practice problems - page 2 of 3The Heron's formula is used to calculate the contents of a general triangle using the lengths of its sides. Heron's formula states that the area of a triangle whose sides have lengths a, b, and c is:
S=s(s−a)(s−b)(s−c), where s=2a+b+c is the semiperimeter (half perimeter) of the triangle .
Number of problems found: 55
- Sss triangle
Calculate the area and heights in the triangle ABC by sides a = 8cm, b = 11cm, c = 12cm
- Is right triangle or not
If right triangle ABC, have sides a=13, b=11.5, c=22.5. Find area.
- 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.
- 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.
- Sides of the triangle
Calculate triangle sides where its area is S = 84 cm² and a = x, b = x + 1, xc = x + 2
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
- Find the area
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. Field has a triangular shape. The farmer had fenced field, so he knows the lengths of the sides: 119, 111 and 90 meters. Find a suitable way to determine th
- Trapezoid - hard example
Base of the trapezoid are: 24, 16 cm. Diagonal 22, 26 cm. Calculate its area and perimeter.
The newly built park will be permanently placed rotating sprayer irrigation of 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.
The triangle has known all three sides: a=5.5 m, b=5.3 m, c= 7.8 m. Calculate the area of this triangle.
The rhombus has a side 17 cm and one diagonal 22 cm long. Calculate its area.
- Triangle ABC
Calculate the sides of triangle ABC with area 1404 cm², and if a: b: c = 12:7:18
Calculate perimeter of the circle described by a triangle with sides 478, 255, 352.
- Circles 2
Calculate the area bounded by the circumscribed and inscribed circle in triangle with sides 12 cm, 14 cm, 18 cm.
- Heron backlaw
Calculate missing side in a triangle with sides 25 and 13 and area 152.
Calculate the heights of the triangle ABC if the sides of the triangle are a=82, b=44, and c=53.
Calculate the area of trapezoid ABCD with sides |AB|= 50 cm, |BC|=25 cm, |CD|=10 cm, |AD|=25 cm..
- Triangle SSS
Calculate perimeter and area of a triangle ABC, if a=53, b=46 and c=40.
triangle calculator. See also more information on Wikipedia.