Answer:
c. 10 cm
Step-by-step explanation:
The parallel sides of trapizium are the bases so
base 1(B1) =9cm , base(B2)= 12cm
[tex]area(a) = 105 {cm}^{2} [/tex]
the perpendicular distance means the height so lets find the height
area of trapizium= B1 + B2 × h
2
[tex] {105cm}^{2}(the \: given \: area) = \frac{9cm(the \: given \: base) + 12cm(the \: given \: base)}{2} \times h[/tex]
[tex] {105cm}^{2} = \frac{21cm}{2} \times h[/tex]
now we crisscross
[tex] {105cm}^{2} \times 2 = 21cm \times h [/tex]
[tex] {210cm}^{2} = 21cm \times h[/tex]
[tex] \frac{ {210cm}^{2} }{21cm} = \frac{21cm \: }{21cm} \times h[/tex]
h = 10 cm
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