Find the short base $b$ of a trapezoid if long base $a = 9.5 cm$ and median $m = 8.8 cm$ .

Answer

$27.1 cm$

Explanation

To find short base $b$ use formula:

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

After substituting $m = 8.8 cm$ and $a = 9.5 cm$ we have:

8.8 cm = \frac{9.5 cm + b}{2}

8.8 cm \cdot 2 = 9.5 cm + b

9.5 cm + b = 17.6 cm

b = 9.5 cm + 17.6 cm

b = 27.1 cm

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Find the short base b of a trapezoid if long base a=9.5cm and median m=8.8cm.

27.1cm

Find the short base $b$ of a trapezoid if long base $a = 9.5 cm$ and median $m = 8.8 cm$ .

$27.1 cm$