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Answer:
Base 160 m and Height 200 m
Step-by-step explanation:
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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 :
- 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
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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