Answered

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The area of the triangle below is 10.6 square centimeters. What is the length of the
base?
4 cm

The Area Of The Triangle Below Is 106 Square Centimeters What Is The Length Of The Base 4 Cm class=

Sagot :

renknee

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! ♡

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