Length IT

Find the length (circumference) of an isosceles trapezoid in which the length of the bases a,c, and the height h is given: a = 8 cm c = 2 cm h = 4 cm.

Final Answer:

x =  20 cm

Step-by-step explanation:

$$\begin{gathered} a=8\text{cm} \\ c=2\text{cm} \\ v=4\text{cm} \\ w=\frac{a-c}{2}=\frac{8-2}{2}=3\text{cm} \\ b=\sqrt{v^2+w^2}=\sqrt{4^2+3^2}=5\text{cm} \\ x=a+c+2\cdot b=8+2+2\cdot 5=20\text{cm} \end{gathered}$$

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