The area, A, of a triangle is A=(1)/(2) b h, where b= length of the base and h= height. The area

step 1 Okay, so for Part A, we have to solve for H. So what I'm going to do is I'm going to divide by o

The area, A, of a triangle is A=(1)/(2) b h, where b= length...

The area, $A,$ of a triangle is $A=\frac{1}{2} b h,$ where $b=$ length of the base and $h=$ height. The area, $A,$ of a triangle is $A=\frac{1}{2} b h,$ where $b=$ length of the base and $h=$ height. a) Solve $A=\frac{1}{2} b h$ for $h$ b) Find the height of the triangle that has an area of 30 in $^{2}$ and a base of length 12 in.

The area, $A,$ of a triangle is $A=\frac{1}{2} b h,$ where $b=$ length of the base and $h=$ height.
The area, $A,$ of a triangle is $A=\frac{1}{2} b h,$ where $b=$ length of the base and $h=$ height.
a) Solve $A=\frac{1}{2} b h$ for $h$
b) Find the height of the triangle that has an area of 30 in $^{2}$ and a base of length 12 in.

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Key Concepts

Solving for a Variable

This concept focuses on isolating a specific variable within an equation. By applying inverse operations, one can express the variable in terms of the remaining quantities, enabling the solution of the equation in a more general and applicable form.

Substitution

Substitution involves replacing variables with specific numerical values after solving an equation abstractly. This method allows for the concrete calculation of a variable’s value using the general relationship established by a formula.

Triangle Area Formula

The triangle area formula, A = (1/2)bh, establishes a relationship between a triangle's area, base, and height. This fundamental geometric formula is widely used to determine the area of triangles and serves as an essential tool in geometry.

Algebraic Manipulation

Algebraic manipulation involves the process of rearranging equations by performing operations such as multiplication, division, addition, and subtraction. This technique is crucial in isolating variables to solve for unknowns in an equation.

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