Question
An isosceles right triangle is inscribed in a square. Its hypotenuse is a mid segment of the square. What is the ratio of the square’s area to the triangle’s area? 
Answer: Option C
:
C
Graphical Division: -
Assume the square to have a side 2a. Hence, area of square = 4a2
Using graphical division, we can divide the figure into 8 parts as follows. The triangle in question is the shaded part
Thus the triangle is 28th of the square area
Hence ratio = 1:4
Shortcut:- Assumption method. Assume a simple case as the isosceles triangle and square in this case. Just substitute and solve
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:
C
Graphical Division: -
Assume the square to have a side 2a. Hence, area of square = 4a2
Using graphical division, we can divide the figure into 8 parts as follows. The triangle in question is the shaded part
Thus the triangle is 28th of the square area
Hence ratio = 1:4
Shortcut:- Assumption method. Assume a simple case as the isosceles triangle and square in this case. Just substitute and solve
Was this answer helpful ?
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