Heron's formula - practice problems
The Heron's formula is used to calculate the area 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 .
Direction: Solve each problem carefully and show your solution in each item.
Number of problems found: 72
- Triangular field
Find the area of a triangular field whose sides are 78m, 50m, and 112m. - Sides to area If the sides of a triangle are 26 cm, 24 cm, and 10 cm, what is its area?
- Area + perimeter TR2
Find the area of a triangle, two sides of which are 8 cm and 11 cm and the perimeter is 32 cm. - Height or altitude
Find the altitude (in cm) of side MT of triangle MNT with side MN = 36 cm, MT = 36 cm and NT = 48 cm. - Revolving to cone
A triangle whose sides are 20 cm, 16 cm, and 12 cm is revolving around its greatest side as axis. What is the volume space it generates after a full revolution in cubic centimeters? - Triangle 8320
Is there a triangle with heights of 4, 7, and 10 meters? - A rhombus 2
A rhombus has sides of 170 meters and a diagonal of 300 meters. What is the area of the rhombus?
- Determine 57151
The land has the shape of an obtuse triangle with sides of 40m, 30, and 60m. Determine the minimum mesh length for fencing and the land area in ares. - Trapezoid and diagonals
Find the area of a trapezoid with bases a = 24 cm, c = 16 cm, and diagonals u = 22 cm, v = 26 cm. - Triangle
The triangle has known all three sides: a=4.6 m, b=7.4 m, c= 3.8 m. Calculate the area of this triangle. - The perimeter
The perimeter of a rhombus whose diagonal lengths are in the ratio 3:4 is 40 cm. What is its area in cm²? - Circle inscribed
There is a triangle ABC and a circle inscribed in this triangle with a radius of 15. Point T is the point of contact of the inscribed circle with the side BC. What is the area of the triangle ABC if | BT | = 25 a | TC | = 26? - Calculate 4424
Calculate the area of the triangle ABC if a = 10 cm, c = 8 cm, ta = 6 cm. - Inscribed circle
A circle is inscribed in the triangle with sides of 13 cm, 14 cm, and 15 cm. What is its radius? - Calculate 81757
Calculate the size of the largest angle in triangle ABC if a = 7 cm, b = 8 cm, and c = 13 cm. Calculate the area of the triangle, the height per side a.
- Is right triangle or not
If the right triangle is ABC, it has sides a=13, b=11.5, and c=22.5. Find area. - Trapezoid - hard example
Bases of the trapezoid are: 24, 16 cm. Diagonal 22, 26 cm. Calculate its area and perimeter. - Triangle
Calculate the triangle's heights ABC if the triangle's sides are a=26, b=81, and c=73. - Circles 2
Calculate the area bounded by the circumscribed and inscribed circle in a triangle with sides 16 cm, 20 cm, and 15 cm. - Diamond
The rhombus has a side 22 cm and one diagonal 35 cm long. Calculate its area.
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See also our trigonometric triangle calculator. See also more information on Wikipedia.
