[tex]b_1=\frac{2A}{h}-b_2[/tex]
Step-by-step explanation:
Given expression is;
[tex]A=\frac{h(b_1+b_2)}{2}[/tex]
Solving for [tex]b_1[/tex]
Multiplying both sides by 2
[tex]2*A=\frac{h(b_1+b_2)}{2}*2\\2A=h(b_1+b_2)[/tex]
Dividing both sides by h
[tex]\frac{2A}{h}=\frac{h(b_1+b_2)}{h}\\\frac{2A}{h}=b_1+b_2[/tex]
Subtracting [tex]b_2[/tex] from both sides
[tex]\frac{2A}{h}-b_2=b_1+b_2-b_2\\\frac{2A}{h}-b_2=b_1\\b_1=\frac{2A}{h}-b_2[/tex]
[tex]b_1=\frac{2A}{h}-b_2[/tex]
Keywords: division, subtraction
Learn more about subtraction at:
- brainly.com/question/11145277
- brainly.com/question/11150876
#LearnwithBrainly
