Solve for the indicated variable. Include all of your work in your answer. Submit your solution. $$ A=\frac{h}{2}(a+b) ; $$ for $$ h $$

Question

UpStudy AI · Accepted Answer

Sure, let's solve the equation for $$ h $$ step by step.

**Given Equation:**
$$ A = \frac{h}{2}(a + b) $$

**Step 1: Eliminate the Fraction**

To get rid of the denominator $$ 2 $$, multiply both sides of the equation by $$ 2 $$:
$$
2A = h(a + b)
$$

**Step 2: Solve for $$ h $$**

Now, isolate $$ h $$ by dividing both sides of the equation by $$ (a + b) $$:
$$
h = \frac{2A}{a + b}
$$

**Final Solution:**
$$
h = \frac{2A}{a + b}
$$
$$ h = \frac{2A}{a + b} $$

Solve for the indicated variable. Include all of your work in your answer. Submit your solution. \( A=\frac{h}{2}(a+b) ; \) for \( h \)