Find the short base $b$ of a trapezoid if long base $a = 64 cm$ and median $m = 49 cm$ .

Answer

$162 cm$

Explanation

To find short base $b$ use formula:

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

After substituting $m = 49 cm$ and $a = 64 cm$ we have:

49 cm = \frac{64 cm + b}{2}

49 cm \cdot 2 = 64 cm + b

64 cm + b = 98 cm

b = 64 cm + 98 cm

b = 162 cm

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Find the short base b of a trapezoid if long base a=64cm and median m=49cm.

162cm

Find the short base $b$ of a trapezoid if long base $a = 64 cm$ and median $m = 49 cm$ .

$162 cm$