Question

How many triangles can be drawn with area 12 sq.cm?

Answer 1

$Let \: base \: of \:the \: triangle = b \:cm$

$and \: corresponding \: altitude (h) = h \:cm$

/* We know that */

$\boxed {\pink { Area (A)= \frac{1}{2} \times b \times h }}$

$Given \: A = 12 \: cm^{2}$

$\implies \frac{1}{2} \times b \times h = 12$

$\implies b \times h = 2 \times 12$

$\implies b \times h = 24$

$\underline{\blue { Possible \: measures \:of \: b \: and \: h :}}$

$( b,h) = ( 1,24),(2,12),(3,8),(4,6)$

Therefore.,

$\red{ Number \:of \: triangles \:can \:be }$

$\red{ drawn \:with \: area \: 12\: sq.cm }$

$\green { = 4 }$

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