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: 69
- 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?
- 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? - Triangle SSS
Calculate the perimeter and area of a triangle ABC if a=40, b=35, and c=55. - Four sides of trapezoid
Calculate the area of the ABCD trapezoid with sides a = 65 cm, b = 29 cm, c = 40 cm, d = 36 cm - Diamond
The rhombus has a side 22 cm and one diagonal 35 cm long. Calculate its area.
- Triangle
Calculate the triangle's heights ABC if the triangle's sides are a=26, b=81, and c=73. - 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. - 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. - Calculate 4424
Calculate the area of the triangle ABC if a = 10 cm, c = 8 cm, ta = 6 cm. - Circles 2
Calculate the area bounded by the circumscribed and inscribed circle in a triangle with sides 16 cm, 20 cm, and 15 cm.
- Trapezoid - hard example
Bases of the trapezoid are: 24, 16 cm. Diagonal 22, 26 cm. Calculate its area and perimeter. - Sss triangle
Calculate the area and heights in the triangle ABC by sides a = 8cm, b = 11cm, c = 12cm - Described
Calculate the perimeter of the circle described by a triangle with sides 191, 428, 385. - Trapezoid
Calculate the area of trapezoid ABCD with sides |AB|= 78 cm, |BC|=51 cm, |CD|=15 cm, |AD|=30 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 triangle sides where its area is S = 84 cm² and a = x, b = x + 1, xc = x + 2Do you have unsolved problem that you need help? Ask a question, and we will try to solve it. Solving math problems.
