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asambeis [7]
3 years ago
11

Please help me out. Good points given.

Mathematics
1 answer:
Snezhnost [94]3 years ago
4 0

Answer:

expression for perimeter 3x+12

expresion for area ( 2x+6) ( x+4) /2

P= 29; A = 72

Step-by-step explanation:

Given : hight 2x+6, base length x+4 and triangle is equilateral

perimeter = base + two other sides

because the triangle is equilateral the base length is the same as the other two sides

perimeter = x+4 + x+4 +x+4 = 3x + 12

area = base *hight / 2 = (x+4) ( 2x+6) /2  

if x=5

P = 3*5 +12 = 29, A = (5+4) ( 2*5+6)/2 = 9* 16/2 = 144/2 = 72

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Here, we will take,

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According to the Pythagoras Theorem,

(Hypotenuse)² = (Base)² + (Perpendicular)²

<em>h</em><em>²</em><em> </em><em>=</em><em> </em><em>b²</em><em> </em><em>+</em><em> </em><em>p²</em>

<em>p²</em><em> </em><em>=</em><em> </em><em>h²</em><em> </em><em>-</em><em> </em><em>b</em><em>²</em>

<em>p²</em><em> </em><em>=</em><em> </em><em>37</em><em>²</em><em> </em><em>-</em><em> </em><em>32</em><em>²</em><em> </em>

<em>p²</em><em> </em><em>=</em><em> </em><em>1</em><em>3</em><em>6</em><em>9</em><em> </em><em>-</em><em> </em><em>1</em><em>0</em><em>2</em><em>4</em>

<em>p²</em><em> </em><em>=</em><em> </em><em>34</em><em>5</em>

<em>p </em><em>=</em><em> </em><em>1</em><em>8</em><em>.</em><em>5</em><em>7</em>

and if we round the solution to nearest tenth it will be 20.

<u>Hence,</u><u> </u><u>height </u><u>of </u><u>the </u><u>building </u><u>is </u><u>2</u><u>0</u><u> </u><u>m.</u>

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