What is hight and base if area of triangle 216 and hight and base ratio 4:3.?
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Answer:
Ratio of the base and height=4:3
Let base=4x
height=3x
Area of the triangle=216 m^2
1/2 bh=216
1/2 ×4x×3x=216
x square=(216*2)/12
x square=36
x=√36
x=6
Base=4x=4(6)=24 m
Height=3x=3(6)=18 m
Step-by-step explanation:
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Ratio of height and base=4:3
Let height be 4x and base be 3x.
Then, Area=1/2×4x×3x=2x×3x=6x^2.
216=6x^2
216/6=x^2
36=x^2
√36=x
6=x
Hence, Height=4x=(4×6)=24
Base=3x=(3×6)=18
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