Question

Which of the following combination of base and height is not possible if the area of the triangle is given as $36c{m}^2$?

• A. $12cm,6cm$
• B. $9cm,8cm$
• C. $24cm,3cm$
• D. $9cm,4cm$

Answer 1

The correct option is B $9cm,8cm$

Area of a triangle $=\frac{1}{2}\times \text{base}\times \text{height}$

$\left(i\right)Area=\frac{1}{2}\times 12\times 6=36\Rightarrow$Possible

$\left(ii\right)Area=\frac{1}{2}\times 9\times 8=36\Rightarrow$Possible

$\left(iii\right)Area=\frac{1}{2}\times 24\times 3=36\Rightarrow$Possible

$\left(iv\right)Area=\frac{1}{2}\times 9\times 4=18\Rightarrow$Not possible