Question

The area of a triangle is equal to that of a square whose each side measures 70 meters.find the side of the triangle whose corresponding altitude is 98 meters.

Answer 1

Dear student
$$\begin{gathered} \mathrm{Area}\mathrm{of}\mathrm{triangle}=\mathrm{Area}\mathrm{of}\mathrm{square}\mathrm{of}\mathrm{side}70\mathrm{m} \\ \Rightarrow \frac{1}{2}\times \mathrm{base}\times \mathrm{height}={\mathrm{a}}^2 \\ \Rightarrow \frac{1}{2}\times \mathrm{base}\times 98={70}^2 \\ \Rightarrow \mathrm{Base}=100\mathrm{m} \\ \mathrm{So},\mathrm{the}\mathrm{side}\mathrm{of}\mathrm{triangle}\mathrm{is}100\mathrm{m} \end{gathered}$$
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