# Heron's formula - math problems

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:$S=\sqrt{s(s-a)(s-b)(s-c)}$

, where $s={\displaystyle \frac{a+b+c}{2}}$

is the semiperimeter (half perimeter) of the triangle .#### Number of problems found: 34

- Triangle

Determine whether a triangle can be formed 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. - Triangle

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 cm^{2}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. - Triangle

The triangle has known all three sides: a=5.5 m, b=5.3 m, c= 7.8 m. Calculate area of this triangle. - Diamond

Rhombus has side 17 cm and and one of diagonal 22 cm long. Calculate its area. - Sails

We known heights 220, 165 and 132 of sail. It has triangular shape. What is the surface of the sail? - Sides ratio

Calculate the circumference of a triangle with area 84 cm^{2}if a:b:c = 10:17:21 - One trapezium

One trapezium has AB=24M, BC=36M, CD=80M, DA=80M long sides. Find the area. - 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. - 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 cm^{2}and if a: b: c = 12:7:18 - Described

Calculate perimeter of the circle described by a triangle with sides 478, 255, 352. - 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

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