Question

substitute the given values into the formula, and solve for the unknown variable. $a=\frac{1}{2}h(b+b)$; $a=65$, $b=8$, $b=5$
$h=\square$

Explanation:

Step1: Substitute given values

$$65 = \frac{1}{2}h(8+5)$$

Step2: Simplify the bracket

$$65 = \frac{1}{2}h(13)$$

Step3: Simplify the right-hand side

$$65 = \frac{13}{2}h$$

Step4: Isolate h by multiplying both sides by $\frac{2}{13}$

$$h = 65 \times \frac{2}{13}$$

Step5: Calculate the value of h

$$h = 5 \times 2 = 10$$

Answer:

10