A=(1/2)h(b1+b2) solve for h

Mathematics

1 answer:

pshichka [43]3 years ago

6 0

Answer:

$\large\boxed{h=\dfrac{2A}{b_1+b_2}}$

Step-by-step explanation:

$A=\dfrac{1}{2}h(b_1+b_2)\qquad\text{multiply both sides by 2}\\\\2A=2\!\!\!\!\diagup\cdot\dfrac{1}{2\!\!\!\!\diagup}h(b_1+b_2)\\\\2A=h(b_1+b_2)\qquad\text{divide both sides by}\ (b_1+b_2)\\\\\dfrac{2A}{(b_1+b_2)}=\dfrac{h(b_1+b_2)}{(b_1+b_2)}\qquad\text{cancel}\ (b_1+b_2)\\\\\dfrac{2A}{b_1+b_2}=h\to h=\dfrac{2A}{b_1+b_2}$

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