the base and height of the triangle are in the ratio 1 by 2 is to 1 by 5 and its area is 125 m square find its base and height
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the base and height of the triangle are in the ratio 1 by 2 is to 1 by 5 and its area is 125 m square find its base and height
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Verified answer
Given that,
To find :-
=> It's Height and Base.
Solution :-
B:H = 1/2:1/5 = 5:2
Let the base = 5x metre
Let the height = 2x metre
We know that,
Area of triangle = ½(b×h)
=> ½(5x)(2x) = 5x m²
According to the question:-
We have,
Area = 125m²
=> 5x² = 125m
=> x² = 125/5 = 25
=> x = √25 = 5
Therefore, Base = 5x = 5(5)
=> 25 m
Height = 2x = 2(5)
=> 10 m
Check:-
Area = ½bh
=> ½(25×10)
=> ½(250)
=> 125m²
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Answer:
Given that,
Ratio of base and height of the triangle is 1/2 : 1/5
It's area is 125m².
To find :-
=> It's Height and Base.
Solution :-
B:H = 1/2:1/5 = 5:2
Let the base = 5x metre
Let the height = 2x metre
We know that,
Area of triangle = ½(b×h)
=> ½(5x)(2x) = 5x m²
According to the question:-
We have,
Area = 125m²
=> 5x² = 125m
=> x² = 125/5 = 25
=> x = √25 = 5
Therefore, Base = 5x = 5(5)
=> 25 m
Height = 2x = 2(5)
=> 10 m
Check:-
Area = ½bh
=> ½(25×10)
=> ½(250)
=> 125m²
Step-by-step explanation:
I hope it will help you
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