What is the height of an equilateral triangle with a side length of 14?
What is the height of an equilateral triangle with a side length of 14?
We can use the Pythagorean Theorem or the properties of 30˚−60˚−90˚ triangles to determine that the height of the triangle is √32s . Since, in your case, s=14 , the area of the triangle is 142√34=196√34=49√3 .
What is the length of each side of an equilateral triangle with a perimeter of 15m?
The 15 meter height is the x√3 side. To find x, divide by √3 . That is one side of the equilateral triangle, and 10√3⋅3=30√3 . That is the perimeter.
What is the are of an equilateral triangle of side 16 cm?
Description for Correct answer: Area=√34a2=√34×16×16=64√3sq.cm. =110.848 = 110.85 sq. cm.
What is the length of each side of an equilateral triangle having an area of 4 cm 5 cm 16 cm 8 cm?
Question : The length of each side of an equilateral triangle having an area of 9sqrt3 cm^(2) is. Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams. Hence, the length of an equilateral triangle is 6cm.
What formula do you use for a triangle?
The area of each triangle is one-half the area of the rectangle. So, the area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle.
How do you find a perimeter?
The perimeter is the length of the outline of a shape. To find the perimeter of a rectangle or square you have to add the lengths of all the four sides. x is in this case the length of the rectangle while y is the width of the rectangle. The area is measurement of the surface of a shape.
What are the formulas for area and perimeter?
Area and Perimeter Formula Chart
| Figures | Area Formula | Variables |
|---|---|---|
| Area of Rectangle | Area = l × w | l = length w = width |
| Area of Square | Area = a2 | a = sides of the square |
| Area of a Triangle | Area = 1/2 b×h | b = base h = height |
| Area of a Circle | Area = πr2 | r = radius of the circle |
What is the difference between perimeter area and volume?
The perimeter of a shape represents the distance around it, the area of a shape is the surface or flat space that the shape covers (in 2D) while the volume of a shape is the space it occupies in real life (in 3D). …
How do you find the perimeter when given the area?
You can calculate the area of a square by using both the length of one side and its perimeter. Divide the perimeter length by 4 to get the measurement for each side of the square. For example, a square with a perimeter of 20 inches has four sides of five inches each. Multiply the length of one side by another side.
How do I find the perimeter and area of a rectangle?
The perimeter P of a rectangle is given by the formula, P=2l+2w , where l is the length and w is the width of the rectangle. The area A of a rectangle is given by the formula, A=lw , where l is the length and w is the width.
What are the names of irregular shapes?
Any polygon that does not have all congruent sides is an irregular polygon. Irregular polygons can still be pentagons, hexagons and nonagons, but they do not have congruent angles or equal sides.
How do you find the perimeter of an irregular shape with variables?
An irregular shape is simply a shape where not every single side is the same length. If a shape is irregular then it has angles that are not all the same size. To find the perimeter of an irregular shape, we simply add up each of its outer sides. units.
How do you find the perimeter of an irregular circle?
To find the perimeter around irregular figures, add the lengths of the sides. If the sides of the figures include circles, use the circumference formula to calculate the length of that portion of the figure and add it to the total of the other sides.
How do you find the perimeter of an irregular pentagon?
For an irregular polygon, the perimeter is calculating by adding together the individual side lengths. For example, the perimeter of an irregular pentagon whose side lengths are; 5 cm, 4 cm, 6 cm, 10 cm, and 9 cm. = 34 cm.
How do you find the perimeter and area of a pentagon?
Using a Formula. Area of a regular pentagon = pa/2, where p = the perimeter and a = the apothem. If you don’t know the perimeter, calculate it from the side length: p = 5s, where s is the side length.
How do you find the perimeter of a missing side?
To find the missing side length, write an addition sentence for the perimeter of the shape. The perimeter of a shape equals the sum of all of its side lengths. Add the lengths of the sides you know. Find the side length that makes the addition sentence true.
What is the missing side length?
The Pythagorean theorem states that a2 + b2 = c2 in a right triangle where c is the longest side. You can use this equation to figure out the length of one side if you have the lengths of the other two. In the left triangle, the measure of the hypotenuse is missing.
What is a side length?
Filters. (mathematics) The length of a side (of a polygon). noun. 5.