If a triangle has an area of 30 square units and a base of 10 units, what is the

If a triangle has an area of 30 square units and a base of 10 units, what is the height?

If a triangle has an area of 30 square units and a base of 10 units, what is the height?

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 30 square units and the base is 10 units. So, we write: 30 = 1/2 * 10 * height.
Step 3: Simplify the equation. Calculate 1/2 * 10, which equals 5. Now the equation is: 30 = 5 * height.
Step 4: To find the height, divide both sides of the equation by 5. So, height = 30 / 5.
Step 5: Calculate 30 divided by 5, which equals 6. Therefore, the height is 6 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.