Heron's formula - math problemsThe 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:
is the semiperimeter (half perimeter) of the triangle .
Number of problems found: 38
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
- Heron backlaw
Calculate missing side in a triangle with sides 17 and 34 and area 275.
Calculate heights of the triangle ABC if sides of the triangle are a=82, b=44, and c=53.
- Triangle SSS
Calculate perimeter and area of a triangle ABC, if a=53, b=46 and c=40.
- 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
- Sides of the triangle
Calculate triangle sides where its area is S = 84 cm2 and a = x, b = x + 1, xc = x + 2
- Is right triangle or not
If right triangle ABC, have sides a=13, b=11.5, c=22.5. Find area.
- Vertex points
Given the following points of a triangle: P(-12,6), Q(4,0), R(-8,-6). Graph the triangle. Find the triangle area.
- Four sides of trapezoid
Trapezoid is given by length of four sides: 40.5 42.5 52.8 35.0. Calculate its area.
The triangle has known all three sides: a=5.5 m, b=5.3 m, c= 7.8 m. Calculate area of this triangle.
- A rhombus 2
A rhombus have sides of 170 meters and diagonal of 300 meters. What is the area of the rhombus?
Rhombus has side 17 cm and and one of diagonal 22 cm long. Calculate its area.
We known heights 220, 165, and 132 of sail. It has a triangular shape. What is the surface of the sail?
- Sides ratio
Calculate the circumference of a triangle with area 84 cm2 if a:b:c = 10:17:21
- Sss triangle
Calculate the area and heights in the triangle ABC by sides a = 8cm, b = 11cm, c = 12cm
- Trapezoid - hard example
Base of the trapezoid are: 24, 16 cm. Diagonal 22, 26 cm. Calculate its area and perimeter.
- One trapezium
One trapezium has AB=24M, BC=36M, CD=80M, DA=80M long sides. Find the area.
- Circles 2
Calculate the area bounded by the circumscribed and inscribed circle in triangle with sides 12 cm, 14 cm, 18 cm.
- 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.
See also our trigonometric triangle calculator. See also more information on Wikipedia.