Height and base of a triangle with given area 48 square meters is 12meters and 8 meters respectively.
As given ,
Area of the triangle = 48 square meters
Let 'y' meters represents the height of the triangle
Then 'y - 4' meters represents the base of a triangle.
Area of a triangle = ( 1/2 ) × base × height
Substitute the values we get
48 = ( 1 / 2) × ( y - 4 ) × y
⇒ 96 = y² - 4y
⇒ y² - 4y - 96 = 0
⇒ y² - 12y + 8y - 96 = 0
⇒ ( y - 12 ) ( y + 8 ) =0
⇒ y = 12 or y = -8
Height cannot be negative.
⇒y = 12meters
Base = 12 -4
= 8 meters
Therefore, height and base of a triangle with given area is 12 meters and 8 meters respectively.
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