The area of grden in the shpae of right angled triangle is 600 sq. metre. If the ratio of the sides forming the right angle is 3:4 ,find the sides
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Answer :
Base ( AB ) = 30m
Height ( AC ) = 40m
Step-by-step Explanation :
Given : Area of Triangle = 600 m²
Ratio of the sides forming the right angle is 3:4
To find : length of Side's =. ?
( Please see attached document for the diagram)
In the figure AB : AC = 3 : 4
Let AB and AC be 3x and 4x,
Area of Triangle = 1/2 × base × height
Area of Triangle = 1/2 × AB × AC
Substituting the value in above formula we get,
Area of Triangle = 1/2 × 3x × 4x
600 = 1/2 × 12x²
600 = 6x²
x² = 600/6 = 100
x = 10
Base ( AB ) = 3x = 3×10 = 30m
Height (AC ) = 4x = 4 × 10 = 40m
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