Given A = ½ (b₁ + b₂) h

Solve for h

2A / (b₁ + b₂) = h

Step-by-step explanation:

A = ½ (b₁ + b₂) h

We want to isolate h

Multiply each side by 2

2A = 2 * ½ (b₁ + b₂) h

2A = (b₁ + b₂) h

Divide by (b₁ + b₂)

2A / (b₁ + b₂) = (b₁ + b₂) h / (b₁ + b₂)

2A / (b₁ + b₂) = h

h = (2 A) / (b_1 + b_2)

Step-by-step explanation:

Solve for h:

A = 1/2 h (b_1 + b_2)

A = 1/2 h (b_1 + b_2) is equivalent to 1/2 h (b_1 + b_2) = A:

1/2 h (b_1 + b_2) = A

Divide both sides by 1/2 (b_1 + b_2):

Answer: h = (2 A) / (b_1 + b_2)