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Sagot :
Given -
Base = (x−2) m
Area = (x²−4) m²
To Find -
Height =?
Step-by-Step Explanation -
We know the formula for:
[tex]\begin{gathered} Area\text{ of Triangle = }\frac{1}{2}\times Base\times Height \\ \\ (x^2-2^2)\text{ = }\frac{1}{2}\times(x-2)\times Height \\ \\ (x+2)(x-2)\text{ = }\frac{1}{2}\times(x-2)\times Height\text{ \lparen as a}^2-b^2=(a+b)(a-b)\text{\rparen} \\ \\ Height\text{ = 2\lparen x+2\rparen} \end{gathered}[/tex]Final Answer -
Height = 2(x+2) m = 2x + 4 m
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