Find the short base $b$ of a trapezoid if long base $a = 22 cm$ and median $m = 19 cm$ .

Answer

$60 cm$

Explanation

To find short base $b$ use formula:

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

After substituting $m = 19 cm$ and $a = 22 cm$ we have:

19 cm = \frac{22 cm + b}{2}

19 cm \cdot 2 = 22 cm + b

22 cm + b = 38 cm

b = 22 cm + 38 cm

b = 60 cm

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Find the short base b of a trapezoid if long base a=22cm and median m=19cm.

60cm

Find the short base $b$ of a trapezoid if long base $a = 22 cm$ and median $m = 19 cm$ .

$60 cm$