Draw a triangle of size 4,5,6and construct a square of same area ?

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Solution

Area of $Δ A B C$
$S = \frac{5 + 4 + 6}{2} = \frac{15}{2}$
$A = \sqrt{\frac{15}{2} (\frac{15}{2} - 5) (\frac{15}{2} - 4) (\frac{15}{2} - 6)} = \sqrt{\frac{15}{2} \times \frac{5}{2} \times \frac{7}{2} \times \frac{3}{2}} = \frac{1}{2} \sqrt{5 \times 3 \times 5 \times 3 \times 7} = \frac{15}{2} \sqrt{7} c m^{2} = 19.8431 c m^{2}$
$∴$ Square of same area
Will have side as 4.454

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Draw a triangle of size 4,5,6and construct a square of same area ?

Area of ΔABC S=5+4+62=152 A=√152(152−5)(152−4)(152−6)=√152×52×72×32=12√5×3×5×3×7=152√7cm2=19.8431cm2 ∴ Square of same area Will have side as 4.454