Math, asked by yogitasangtani23, 3 months ago

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Answers

Answered by Jotindra2015
1

Answer:

Base 160 m and Height 200 m

Step-by-step explanation:

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Answered by Champion55
1

Given :

⬤ Area of Garden in Shape of Raigjt angled Triangle is 16000 m².

⬤ Base and Height of Triangle are in the Ratio 4:5.

To Find :

⬤ Base of Triangle.

⬤ Height of Triangle .

Formula Used :

\bf[\:{Area \: of \: Triangle = \dfrac{1}{2} \times{b} \times{h}}\:]

  • b = base
  • h = height

Solution :

Let :

  • Base of Triangle be 4x.
  • Height of Triangle be 5x.

According to the Formula :-

16000 = ½ × b × h

16000 = ½ × 4x × 5x

\sf{\dfrac{16000}{1}=\dfrac{{20x}^{2}}{2}}

By Cross Multiplication :-

2(16000) = 20x²

32000 = 20x²

32000/20 = x²

1600 = x²

√1600 = x

40 = x

Therefore , Value of x is 40 .

Hence ,

Base of Triangle = 4x

= 4(40)

= 80

Height of Triangle = 5x

= 5(40)

= 200

Therefore , Base and Height of Triangle are 80 m and 200 m.

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