If the area of triangle ABC is 60 square units and the base is 12 units, what is

If the area of triangle ABC is 60 square units and the base is 12 units, what is the height? (2019)

If the area of triangle ABC is 60 square units and the base is 12 units, what is the height? (2019)

Step 1: Write down the formula for the area of a triangle: Area = 1/2 * base * height.
Step 2: Substitute the known values into the formula. We know the area is 60 square units and the base is 12 units, so we write: 60 = 1/2 * 12 * height.
Step 3: Simplify the right side of the equation. Calculate 1/2 * 12, which equals 6. Now the equation is: 60 = 6 * height.
Step 4: To find the height, divide both sides of the equation by 6. So, height = 60 / 6.
Step 5: Calculate 60 divided by 6, which equals 10. Therefore, the height is 10 units.

Area of a Triangle – The area of a triangle can be calculated using the formula: Area = 1/2 * base * height.
Algebraic Manipulation – The ability to rearrange equations to solve for an unknown variable, in this case, height.