Find the long base $a$ of a trapezoid if short base $b = 14 cm$ and median $m = 20 cm$ .

Answer

$26 cm$

Explanation

To find long base $a$ use formula:

m = \frac{a + b}{2}

After substituting $m = 20 cm$ and $b = 14 cm$ we have:

20 cm = \frac{a + 14 cm}{2}

20 cm \cdot 2 = a + 14 cm

a + 14 cm = 40 cm

a = 40 cm - 14 cm

a = 26 cm

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Find the long base a of a trapezoid if short base b=14cm and median m=20cm.

26cm

Find the long base $a$ of a trapezoid if short base $b = 14 cm$ and median $m = 20 cm$ .

$26 cm$