Find the long base $a$ of a trapezoid if short base $b = 13 cm$ and median $m = 22 cm$ .

Answer

$31 cm$

Explanation

To find long base $a$ use formula:

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

After substituting $m = 22 cm$ and $b = 13 cm$ we have:

22 cm = \frac{a + 13 cm}{2}

22 cm \cdot 2 = a + 13 cm

a + 13 cm = 44 cm

a = 44 cm - 13 cm

a = 31 cm

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Find the long base a of a trapezoid if short base b=13cm and median m=22cm.

31cm

Find the long base $a$ of a trapezoid if short base $b = 13 cm$ and median $m = 22 cm$ .

$31 cm$