Angles, diagonals and triangles in polygons
Total number of diagonals of a polygon with 23 sides
230
Central angle of a regular polygon of 8 sides
45°
Find the perimeter of a regular octagon if the lenght of each side is 3.4 in
27.2 in
Find the area of a regular heptagon whose side measures 13.9 units and apothem 4
194.6 unites squares
Find the area of a square whose perimeter is equal to 32
64
Find the measure of each interior angle of a regular polygon whose central angle measures 40°
140°
A regular polygon of n sides has an exterior angle whose measure is 30 degrees larger thatn the measure of the exterior angle of the regular polygon with (n+1) sides. Find n
3
If the perimeter of a regular polygon of 12 sides is 99.6 cm, how long is each side?
8.3 cm
Using Heron's formula, find the area in squares cm of a triangle whose sides measures 12, 17 and 25 cm (give your answers with units)
90 cm^2
Find the area in square meters of a 45°, 45° and 90° triangle with leg of 12 m
72 square meters
Find the number of sides of a regular polygon in which the measure of each interior angle is 60° greater than the measure of each central angle
6
Find the measure of the sum of all internal angles of a polygon with 16 sides
2520
Find the perimeter and area of a triangle whose sides are 13m, 12m and 5m
Area= 30 squares meters
Perimeter 30 meters
Find the area of a square with apothem 2.1 cm and perimeter 16.8 cm
17.64 cm^2
x/3 − 4 = 5x/3 + 3
-21/4
In a regular polygon, the sum of the measures of the interior and exterior angles is 2700. Determine the total number of diagonals in the polygon.
Is 11, 13, and 20 a Heron triple?
yes
X is the missing side of a rigth triangle. 14 is the hypotenuse and 6 is the base. Find the missing side (express it as a radical)
4(10^1/2)
Calculate the total number of diagonals of a regular polygon, knowing that the total number of diagonals is greater than the number of sides by 52
Find the missing side of a trapezoid with the following characteristics
B1= 9
Area= 81 square meters
Diagonal= 7m
Height= 6m
18 meters
For a quadrilateral ABCD, the measures of its angles are given below:
a= x+14
b=2(x+2)
c=(3/2x-13)
D=(7/3x-14)
Give the measure of angle A, B, C, and D68,112, 68, and 112