Question

The area of the triangle below is 10.6 square centimeters. What is the length of the

base?
4 cm

Answer 1

6 cm

Explanation:

The area of a triangle is
`(bh)/(2) = A`, where b = base, h = height, and A = area. In this case, we're given the height as 4 cm and the area as 6 cm^2.

Let's plug in these values.

• 
  `(4b)/(2) = 6`

Now, let's solve this algebraically.

Step 1: Multiply both sides by 2.

• 
  `(4b)/(2) * 2 = 6 * 2`
• 
  `4b = 12`

Step 2: Divide both sides by 4.

• 
  `(4b)/(4) = (12)/(4)`
• 
  `b = 3`

Step 3: Check if solution is correct.

• 
  `(3*4)/(2) = 6`
• 
  `(12)/(2) = 6`
• 
  `6 = 6`

Therefore, the base is 6 cm. (but don't put the cm in the box because it's already there)

Have a lovely rest of your day/night, and good luck with your assignments! ♡