Answer:
[tex]b= 8cm[/tex]
Step-by-step explanation:
Let's refer to the formula of the area of triangles:
[tex]A=\frac{b*h}{2}[/tex], where b is the legth of the base of the triangle, and h is its height.
Now, let's solve the question.
1. Solve the area of triangle formula for b (base).
We need to find the base of this triangle, therefore, let's adequate the area formula for the case.
[tex]A=\frac{b*h}{2}[/tex]
a. Multiply both sides by 2 and cancel.
[tex]2A=\frac{b*h}{2}*2\\ \\2A=b*h[/tex]
b. Divide both sides by "h" and cancel.
[tex]\frac{2A}{h} =\frac{b*h}{h}\\ \\\frac{2A}{h} =b[/tex]
c. Reorganize.
[tex]b=\frac{2A}{h}[/tex]
2. Substitute the values in the new expression and calculate.
[tex]b=\frac{2A}{h}\\ \\b=\frac{2(20cm^{2} )}{5cm}\\ \\b=\frac{40cm^{2} }{5cm}\\ \\b= 8 cm[/tex]
3. Express your result.
[tex]b= 8cm[/tex]
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Check out the solving to find the expression for b made manually in the image attached below, in case you didn't understand it through the digital expressions.
