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tia_tia [17]
3 years ago
11

How do I find the height of the triangle using pyhthagreon theorem?

Mathematics
1 answer:
Llana [10]3 years ago
7 0

Answer:

<h2><em><u>Pythagorean </u></em><em><u>theorem </u></em><em><u>reads </u></em><em><u>as:</u></em></h2>

<h2><em><u>H²</u></em><em><u>=</u></em><em><u>P²</u></em><em><u>+</u></em><em><u>B</u></em><em><u>²</u></em></h2>

<h2><em><u>in </u></em><em><u>which </u></em><em><u>p </u></em><em><u>reads </u></em><em><u>as </u></em><em><u>perpendicular </u></em><em><u>so </u></em></h2>

<h2><em><u>P²</u></em><em><u>=</u></em><em><u>H²</u></em><em><u>-</u></em><em><u>B²</u></em></h2>

<em><u>p =  \sqrt{h {}^{2} - {b}^{2}  }</u></em>

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Step-by-step explanation:

Step 1 :    

Let P be the point (-5,0)  Q = (0,-5), R = (-15,-20) and S = (20,-15)

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Step 2 :

The area of polygon given the vertices (x(x_{1} ,y_{1} ), (x_{2} ,y_{2})  ... (x_{n} ,y_{n} ) is given by

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Where  x_{n} is the vertex n's x coordinate , y_{n} is the vertex n's y coordinate

Substituting the corresponding values ,

Area of PQRS = mod ( (25 - 0)+ (0-75) +(300-300) +( 0-75)  ) ÷ 2

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Step 3 :    

Answer :

Area of the polygon defined by the given points is 62.5 sq units

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