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Charlie runs a screen printing company and is resetting a machine he uses to print triangular banners. He knows the amount of material he needs for the banner as well as the height of the triangle, but he needs to set the machine to a new measurement for the triangle's base.

To help Charlie determine the new measurement, rewrite the standard formula for the area of a triangle, [tex]A=\frac{1}{2}bh[/tex], to solve for the base, [tex]b[/tex].

Enter the correct answer in the box.

[tex]b=[/tex]

Sagot :

GinnyAnswer
Sure, let's work through the steps to solve for the base [tex]\( b \)[/tex] in the formula for the area of a triangle.

The standard formula for the area of a triangle is given by:
[tex]\[ A = \frac{1}{2} b h \][/tex]
where [tex]\( A \)[/tex] is the area, [tex]\( b \)[/tex] is the base, and [tex]\( h \)[/tex] is the height of the triangle.

To solve for [tex]\( b \)[/tex], follow these steps:

1. Start with the equation:
[tex]\[ A = \frac{1}{2} b h \][/tex]

2. To eliminate the fraction, multiply both sides of the equation by 2:
[tex]\[ 2A = b h \][/tex]

3. Now, to isolate [tex]\( b \)[/tex], divide both sides of the equation by [tex]\( h \)[/tex]:
[tex]\[ b = \frac{2A}{h} \][/tex]

So, the formula for the base [tex]\( b \)[/tex] in terms of the area [tex]\( A \)[/tex] and the height [tex]\( h \)[/tex] is:
[tex]\[ b = \frac{2A}{h} \][/tex]

Hence, the new measurement for the base that Charlie needs is:
[tex]\[ b = \frac{2A}{h} \][/tex]
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