State true or false:
White and grey coloured triangular plastic sheets are used to make a toy as shown in figure, then the total areas of white and grey coloured sheets used for making the toy is $16 c m^{2}$ .

True

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False

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Solution

The correct option is B False
The dimensions of each of the triangle in the given figure is equal.
We have, $a = 6 c m, b = 4 c m$ and $c = 6 c m$
So, $s = \frac{6 + 4 + 6}{2} = \frac{16}{2} = 8 c m$
$\Rightarrow$ Area of a triangular sheet $= \sqrt{8 \times (8 - 6) \times (8 - 4) \times (8 - 6)}$
$= \sqrt{8 \times 2 \times 4 \times 2}$
$= 8 \sqrt{2} c m^{2}$
So, area of two white plastic sheet $= 2 \times 8 \sqrt{2} = 16 \sqrt{2} c m^{2}$
Similarly, area of two grey plastic sheet $= 2 \times 8 \sqrt{2} = 16 \sqrt{2} c m^{2}$

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State true or false:White and grey coloured triangular plastic sheets are used to make a toy as shown in figure, then the total areas of white and grey coloured sheets used for making the toy is 16cm2.

State true or false:
White and grey coloured triangular plastic sheets are used to make a toy as shown in figure, then the total areas of white and grey coloured sheets used for making the toy is $16 c m^{2}$ .