How Do You Find the Base of a Triangle?

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Find the base of a triangle by solving the equation: area = 1/2 x b x h. You need to know the area and height to solve this equation.

  1. Substitute numbers for area and height

    Put the area before the equals sign, and replace the letter h with the height. For example, if the area is 15 centimeters, and the height is 10 centimeters, the equation would look like this: 15 = 1/2 x b x 10.

  2. Multiply 1/2 by the height

    Calculate 1/2 x h/1 to get h/2. For example, 1/2 x 10/1 equals 10/2, which equals 5. Now the equation looks like this: 15 = 5b.

  3. Isolate the b variable

    To isolate b, divide the entire equation by the number on the same side of the equation as b. For example, 15 = 5b becomes 15/5 = 5b/5. Five divided by 5 equals 1, so b is now alone on one side of the equation, which now reads 15/5 = b.

  4. Solve for b

    Divide the numbers on the other side of the equation to solve for b. For example, 15 divided by 5 is 3, so 3 = b. The base of the triangle measures 3 centimeters.