handsome+JZ's answer to Sarah's Primary 6 Maths Data Analysis Singapore question.

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handsome+JZ
Handsome+jz's answer
8 answers (A Helpful Person)
The length of the square is 9cm so you can move the line up . That's why i assumed that the length of the triangle is 9cm .
J
J
5 years ago
Yes, that's one way to get one side of the triangle, since the side of one square and the side of the triangle is equal to the radius of the quarter circle.

It is actually quite intuitive if you recognise that the square and the equilateral triangle on the right share a common side.

Since the square's sides are 9cm long, the triangle also has its sides as 9cm since in an equilateral triangle, all sides are the same length.

But this does not mean the triangle's height is 9cm also
handsome+JZ
Handsome+JZ
5 years ago
Bro, mathematics has a theory of achieving to a same target by different ways or methods.
J
J
5 years ago
Yes, but in your case getting 40.5 for the area of the triangle is conceptually incorrect because the height of the triangle is not 9cm. You have to ensure all your steps are mathematically and conceptually correct.

Even though you got the right final answer, it will be marked down and commented as a fluke if the working you provided was used in any exam.