Question

the area of a triangle is equal to that of a square whose each side measures 60 metres. find the side of the triangle whose corresponding altitude is 90 metres.

Answer 1

$Side \:=\:of\:the\:square\:=\:60m\\ \\Area\:of\:the\:square\:=\:side \times side \:=\:60 \times 60\:=\:3600. \\ \\ Area\:of\:the\:square\:=\:Area\:of\:the\:triangle. \\ \\ Area\: of \:the\: triangle \:=\:\frac{1}{2} \times Base \times Height \\ \\ 3600\:=\:0.5\: \times 90 \times Base \\ \\ Base\:=\:80\:metres. \\ \\ \color{red}{\underline{\therefore\:Side\:of\:the\: triangle\:is\:80\:metres.}}$