Heron's formula - practice problems - page 2 of 3
The 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 - 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 - 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. - Park
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. - Triangle
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. - Diamond
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 - Described
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. - Triangle
Calculate the heights of the triangle ABC if the sides of the triangle are a=82, b=44, and c=53. - Trapezoid
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.
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