Answer:
6 cm
Step-by-step explanation:
The area of a triangle is [tex]\frac{bh}{2} = A[/tex], 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.
- [tex]\frac{4b}{2} = 6[/tex]
Now, let's solve this algebraically.
Step 1: Multiply both sides by 2.
- [tex]\frac{4b}{2} * 2 = 6 * 2[/tex]
- [tex]4b = 12[/tex]
Step 2: Divide both sides by 4.
- [tex]\frac{4b}{4} = \frac{12}{4}[/tex]
- [tex]b = 3[/tex]
Step 3: Check if solution is correct.
- [tex]\frac{3*4}{2} = 6[/tex]
- [tex]\frac{12}{2} = 6[/tex]
- [tex]6 = 6[/tex]
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! ♡
