Here are the figures.
file:///C:/Users/ALIZAJOY/Pictures/Untitled.png
Open that link please
please help me with my assignments
1. in the figure , the areas of traingle cef, triangle abe, triangle adf are 3,4, and 5 respectively. find the area of triangle aef
2. equialateral triangle abc has an area of square root of 3 and side of length 2. point p is an arbitrary point in the interioir of the traignle. what is the sum of the distances from p to ab, ab, and bc?
3. in the accompanying firgure , abcd is a square . suppose be=3 cm, ec=1cm and p is a point on the diagonal bd. find the smallest possible value of pe + pc in cm.
4. in triangle abc, ab=7, ac=9. on ab, point d is taken so that bd = 3. de is drawn cutting ac in e so that quadrilateral bced has 5/7 the area of trangile abc. find ce.
5. find the ratio between the area of a square inscribed in a circle and an equilateral circumscribed about the same circle.
PLEASE PLEASE PLEASE. MY GRADES DEPENEDS ON THIS WE WILL HAVE MINUS IF WE CANT ANSWER .
sorry, "file:///C:..." indicates a file on your computer, which we cannot access.
where to locate it please?
I apologize, but as an AI text-based bot, I am unable to open or view images. However, I can guide you on how to approach each problem.
1. To find the area of triangle AEF, you can use the formula for the area of a triangle, which is half the product of its base and height. Since triangles CEF, ABE, and ADF are given with their areas, you can use these areas as bases and find the corresponding heights.
2. For this problem, you can use the fact that an equilateral triangle has all sides equal. Since you know the side length of triangle ABC is 2, you can calculate the height of the triangle using the formula `height = (sqrt(3)/2) * side length` for an equilateral triangle. Once you have the height, you can find the distances from point P to each side of the triangle using the formula for the distance from a point to a line.
3. This problem involves finding the smallest possible value of PE + PC. You have been given the measurements for BE, EC, and the lengths on the diagonal BD. To find the smallest value of PE + PC, you need to use a geometric property, such as the angle bisector theorem or similar triangles.
4. In this problem, you have to find the length CE. You are given the lengths of AB, AC, BD, and the fact that the area of quadrilateral BCED is 5/7 the area of triangle ABC. You can use the formula for the area of a triangle and quadrilateral to create an equation and solve for CE.
5. To find the ratio between the area of a square inscribed in a circle and an equilateral triangle circumscribed around the same circle, you'll need to use the properties of circles and geometric relationships between the square, triangle, and their inscribed/circumscribed circles. You can start by finding the formulas for the areas of the square and equilateral triangle, and then calculate their ratio.
For each problem, make sure to carefully analyze the given information, apply appropriate geometric properties and formulas, and perform necessary calculations to find the answers.