Sign In
Not register? Register Now!
Essay Available:
You are here: HomeMath ProblemLiterature & Language
Pages:
1 page/≈550 words
Sources:
No Sources
Level:
APA
Subject:
Literature & Language
Type:
Math Problem
Language:
English (U.S.)
Document:
MS Word
Date:
Total cost:
$ 7.2
Topic:

Using Pythagoras Theorem in Math Problems (Math Problem Sample)

Instructions:

State and prove Pythagoras theorem

source..
Content:

Pythagoras Theorem
The theorem postulates that, to evaluate the hypotenuse, denoted d2, it is equal to the sum squares of the base and the height, denoted a2 + b2. The triangle is three sided with a perpendicular 900 angle. For the purpose of this report, we will use a as the height, b as the base and d as the hypotenuse, this is sufficient for the Pythagorean triple.
Suppose there exist a triangle as per the above assertion;
So that, a = The height, b = Base of the triangle and d = The hypotenuse of the triangle.
Using our introductory definition,
height2 + Base2 = Hypotenuse2
d2 = b2 + a2
Proof
Let’s us assume that a triangle ABD exist, and contains a structure with right angle triangle at B
We have to show that AD2 = AB2 + BD2
Mark a point H at the point between A and D and draw a perpendicular line to meet AD at H from BH
It is trivial that, △ABD ~ △ BHA
Therefore, ABAD = AHAB
Or, AB2 = AD × AH …………………………….……. (1)
This implies that △BHD ~ △ABD
Therefore, BCAD = CHBD
i.e.  BD2 = DH × HA ……………………………………. (2)
Add

...
Get the Whole Paper!
Not exactly what you need?
Do you need a custom essay? Order right now:

Other Topics:

  • Constructing Pay-Off Matrix on Representing Profits
    Description: Market research has determined estimates for each law firm’s expected profits for the various outcomes of this scenario. If both firms agree to the merger, then each should individually expect a profit of 20 million in the next year. If our client agrees to the merger while the competitor does not....
    1 page/≈550 words| No Sources | APA | Literature & Language | Math Problem |
  • Solving Mathematical Word Problems Involving Sales
    Description: The Konrath Company, a wholesaler in the Midwest, is considering extending credit to the Hawk Company, a retail chain operation that has a number of stores in the Midwest. The Konrath Company has had gross margin of approximately 60% in recent years and expects to have similar gross margin on Hawk Company ...
    1 page/≈275 words| No Sources | APA | Literature & Language | Math Problem |
  • Polynomial. Answer polynomial questions with written explanation
    Description: x^2 - 15x +54 The general form of this polynomial is ax^2 + bx +c . To factor this polynomial, you need to find two factors that will give the product of ax^2 by c and the sum of the two factors will be equal to bx. In our problem here, the product should be 54x^2 and the sum should be -15x....
    1 page/≈550 words| No Sources | APA | Literature & Language | Math Problem |
Need a Custom Essay Written?
First time 15% Discount!