57 305
Assignments Done
Successfully Done
In February 2018
Your physics homework can be a real challenge, and the due date can be really close — feel free to use our assistance and get the desired result.
Be sure that math assignments completed by our experts will be error-free and done according to your instructions specified in the submitted order form.
Our experts will gladly share their knowledge and help you with programming homework. Keep up with the world’s newest programming trends.

Answer on Algebra Question for ann

Question #12182
Find the perimeter of a rectangle if three of its vertices are (5,-2), (-3, -2), and (-3, 3).
b) Find the area of a triangle whose vertices have coordinates (0, 9), (0, -4), and (5, -4).

Describe what you did to solve each problem. Looking at the ordered pairs, did you see a correlation of the y-coordinate? Could you have solved this without graphing? If so, how?

Expert's answer
a) Let's mark the given points by letters A, B and C so that their coordinates will be (5,-2), (-3, -2), and (-3, 3) respectfully. Let's find the coordinates of missing point D. It's coordinates are (5, 3). We can find them without graphing by looking through no-repeated coordinates of the given points. A and C are opposite vertices. So,

T = 2AB + 2AD = 2(5-(-3)) + 2(3-(-2)) = 26.

b) Let's apply the Heron's formula:

T = √[p(p-a)(p-b)(p-c)],


p = [a+b+c]/2

and a, b and c are the lenghts of the sides of the triangle.

a = AB = √[(5-(-3))²+(-2-(-2))²] = 8;
b = BC = √[(-3-(-3))²+(-2-3)²] = 5;
c = CA = √[(-3-5)²+(3-(-2))²] = 9;
p = [8+5+9]/2 = 11;

and so,

T = √[11(11-8)(11-5)(11-9)] = √396.

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!


No comments. Be first!

Leave a comment

Ask Your question