Understanding the Area of a Triangle and Solving for the Base

The video tutorial explains how to solve for the base of a triangle using the area formula. It outlines the steps to isolate the base variable, including underlining the variable, using the reverse order of operations, and employing reciprocals to simplify the equation. The tutorial concludes with the final solution for the base in terms of the area and height.

What is the formula for the area of a triangle?

• 1/2 * base + height

• base + height

• base * height

• 1/2 * base * height

What is the first step in solving for a variable in an equation?

• Underline the variable

• Add and subtract

• Solve for exponents

• Multiply and divide

What is the reverse order of operations used in solving for a variable?

• Multiply/Divide, Add/Subtract, Parentheses, Exponents

• Exponents, Parentheses, Multiply/Divide, Add/Subtract

• Add/Subtract, Multiply/Divide, Exponents, Parentheses

• Parentheses, Exponents, Multiply/Divide, Add/Subtract

How do you eliminate a fraction when solving for a variable?

• Divide by the fraction

• Subtract the fraction from both sides

• Add the fraction to both sides

• Multiply by the reciprocal

What happens when you multiply both sides of an equation by the reciprocal of a fraction?

• The fraction cancels out

• The fraction doubles

• The fraction is added to both sides

• The fraction is subtracted from both sides

After multiplying by the reciprocal, what is the next step to isolate the base?

• Divide both sides by the height

• Add the height to both sides

• Subtract the height from both sides

• Multiply both sides by the height

What operation is used to get rid of multiplication when isolating a variable?

• Addition

• Division

• Multiplication

• Subtraction

What is the final expression for the base after solving the equation?

• height / (2 * area)

• area * height / 2

• 2 * height / area

• 2 * area / height

Why is it important to put the coefficient first in an equation?

• For clarity and standard form

• To make the equation shorter

• To make the equation longer

• To confuse the reader

What is the purpose of solving for a variable in an equation?

• To find the value of the variable

• To make the equation more complex

• To eliminate the variable

• To add more variables