Question

A flooring company needs to tile a section of a kitchen that is in the shape of a triangle.

they know that the area is 21 ft squared and the base is 6 ft how can they determine the
height of the triangle?

The formula for the area of the triangle: A = Area B= Base H=Height

Answer 1

Answer: It is possible to determine the height of the triangle by using the formula of the area of a triangle and creating an equation to find the missing value (height). Also, the value of the height is 7ft

Step-by-step explanation:

The area of a triangle is found by using both the height and the base of a triangle. Indeed, the general formula for this is A( area) = h (height) x b (base) ÷ 2. Now, this general formula can be used to find any of the values missing if two values are known. This means the height can be calculated using the area and the base. To do this, create a simple equation and solve it. The process is shown below:

1. Write the general equation

`A = (h b)/(2)`

2. Replace the letters with the values you have

`21 =(6b)/(2)`

3. Find the missing value by moving the values to the other side of the equal symbol (=) and changing its symbol

21 x 2 = 6b -For example 2 divided 6b but if it is changed to the other side it needs to multiply

42 = 6 b

42 / 6 = b

b = 7

This means the value of the height is 7 ft. If you want to double-check this, use the original formula:

A = 6 ft x 7 ft / 2

A= 42
`ft^(2)` / 2

A= 21
`ft^(2)`