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

Answer

$9.2 cm$

Explanation

To find long base $a$ use formula:

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

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

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

9.8 cm \cdot 2 = a + 10.4 cm

a + 10.4 cm = 19.6 cm

a = 19.6 cm - 10.4 cm

a = 9.2 cm

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

9.2cm

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

$9.2 cm$