Mathematics · Mensuration
An isosceles triangle, ABC, is inside a square of side 1 cm where AD = DB (D is a point on the base AB). Which of the following statements correctly describes the cumulative area (in cm 2 ) of the square and the triangle when moving from A to B?
- 1The cumulative area of the square increases linearly, while the cumulative area of the triangle increases slowly up to point D and then its rate of increase decreases.✓
- 2The cumulative area of both the square and the triangle increases linearly at a constant rate from A to B.
- 3The cumulative area of the square increases quadratically, while the cumulative area of the triangle remains constant.
- 4The cumulative area of the square increases linearly, while the cumulative area of the triangle decreases linearly from A to B.
Correct answer
The cumulative area of the square increases linearly, while the cumulative area of the triangle increases slowly up to point D and then its rate of increase decreases.
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