Find the short base $b$ of a trapezoid if long base $a = 5 cm$ and median $m = 4 cm$ .

Answer

$13 cm$

Explanation

To find short base $b$ use formula:

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

After substituting $m = 4 cm$ and $a = 5 cm$ we have:

4 cm = \frac{5 cm + b}{2}

4 cm \cdot 2 = 5 cm + b

5 cm + b = 8 cm

b = 5 cm + 8 cm

b = 13 cm

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Find the short base b of a trapezoid if long base a=5cm and median m=4cm.

13cm

Find the short base $b$ of a trapezoid if long base $a = 5 cm$ and median $m = 4 cm$ .

$13 cm$