Heron's formula - practice problems - page 2 of 4
Direction: Solve each problem carefully and show your solution in each item.Number of problems found: 72
- 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. - Diamond
The rhombus has a side 22 cm and one diagonal 35 cm long. Calculate its area. - Circumscribed circle
In triangle ABC, we know a = 4 cm, b = 6 cm, γ = 60°. Calculate the area and radius of the inscribed and circumscribed circle. - General triangle
Given a general triangle ABC. Its perimeter is 30 cm, with side a=2 cm longer than side b and 5 cm shorter than side c. Determine the area of the triangle. - Triangle
In triangle ABC, there is a point S with the center of the inscribed circle. The area of quadrilateral ABCS is equal to four-fifths of the area of triangle ABC. The lengths of the sides of triangle ABC expressed in centimeters are all integers and the - Sss triangle
Calculate the area and heights in the triangle ABC by sides a = 8cm, b = 11cm, c = 12cm - 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 - Circumscribed circle ABC
Triangle ABC, with sides a = 15 cm, b = 17.4 cm, and c = 21.6 cm, is circumscribed by a circle. Calculate the area of the segments determined by the sides of the triangle. - Trapezoid
Calculate the area of trapezoid ABCD with sides |AB|= 78 cm, |BC|=51 cm, |CD|=15 cm, |AD|=30 cm.. - Parallelogram ABCD
We have the parallelogram ABCD, where AB is 6.2 cm BC is 5.4 cm AC is 4.8 cm calculate the height on the AB side and the angle DAB - Compute 4
Compute the exact value of the triangle area with sides 14 mi, 12 mi, and 12 mi long. - Parallelogram
The sides of the parallelogram are 8 cm and 6 cm long, and the diagonals' angle is 60°. What is its area? - Annulus from triangle
Calculate the area of the area bounded by a circle circumscribed and a circle inscribed by a triangle with sides a = 25mm, b = 29mm, c = 36mm. - Triangle sides to angles
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. - Parallelogram 64414 The parallelogram has side a = 58cm and diagonals u = 89cm and v = 52cm. Calculate the perimeter and area of this parallelogram.
- Calculate 82696
In the triangle ABC, b=5 cm, c=6 cm, /BAC/ = 80° are given. Calculate the sizes of the other sides and angles, and further determine the sizes of the tangent tc and the area of the triangle. - Measurements of a triangle
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
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