Question

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the formula for the area of a triangle is (a=\frac{1}{2}bh), where (b) is the length of the base and (h) is the height. find the height of a triangle that has an area of 30 square units and a base measuring 12 units. 3 units 8 units 5 units 9 units

Explanation:

Step1: Substitute values into formula

Given $A = 30$, $b = 12$ in $A=\frac{1}{2}bh$, we get $30=\frac{1}{2}\times12\times h$.

Step2: Simplify equation

$\frac{1}{2}\times12 = 6$, so the equation becomes $30 = 6h$.

Step3: Solve for h

Divide both sides by 6: $h=\frac{30}{6}=5$.

Answer:

5 units