Find the short base $b$ of a trapezoid if long base $a = 10.4 cm$ and median $m = 9.8 cm$ .

Answer

$30 cm$

Explanation

To find short base $b$ use formula:

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

After substituting $m = 9.8 cm$ and $a = 10.4 cm$ we have:

9.8 cm = \frac{10.4 cm + b}{2}

9.8 cm \cdot 2 = 10.4 cm + b

10.4 cm + b = 19.6 cm

b = 10.4 cm + 19.6 cm

b = 30 cm

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Find the short base b of a trapezoid if long base a=10.4cm and median m=9.8cm.

30cm

Find the short base $b$ of a trapezoid if long base $a = 10.4 cm$ and median $m = 9.8 cm$ .

$30 cm$