the formula for the area of a triangle is $a = \\frac{1}{2}bh$, where $b$ is the length of the base and $h$…

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. \\bigcirc 3 units \\bigcirc 5 units \\bigcirc 8 units \\bigcirc 9 units

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. \\bigcirc 3 units \\bigcirc 5 units \\bigcirc 8 units \\bigcirc 9 units

Answer

Explanation:

Step1: Start with the area formula

We know the formula for the area of a triangle is ( A = \frac{1}{2}bh ). We are given ( A = 30 ) and ( b = 12 ), and we need to solve for ( h ). First, substitute the known values into the formula: ( 30=\frac{1}{2}(12)h ).

Step2: Simplify the right side

Simplify ( \frac{1}{2}(12) ), which equals ( 6 ). So the equation becomes ( 30 = 6h ).

Step3: Solve for h

To solve for ( h ), divide both sides of the equation by ( 6 ): ( h=\frac{30}{6} ).

Step4: Calculate the result

( \frac{30}{6}=5 ).

Answer:

B. 5 units