What is the maximum number of intersection points between a quadrilateral and a triangle?

Mathematics

2 answers:

disa [49]3 years ago

8 0

→A Quadrilateral is four sided Polygon.

→And ,A Triangle is three sided polygon.

⇒Take any kind of Quadrilateral(Parallelogram,Square,Rectangle,Rhombus,Trapezoid,Kite), and any type of Triangle (Scalene, Isosceles,or Equilateral,Right,Obtuse,Acute),there can be Maximum of six Intersection point between a quadrilateral and a triangle.

ELEN [110]3 years ago

7 0

A quadrilateral is a four sided figure but it does not have to be a rectangle, square or parallelogram. Instead it can be a v-shaped concave figure and still have four sides. Therefore, with this quadrilateral a triangle can intersect with it 8 times.

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Part A: Find a rational number that is between 7.7 and 7.9. Explain why it is rational. (2 points)

8_murik_8 [283]

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Part A:
An easy choice that makes sense is 7.8, right in the middle. To prove that it's rational we need to write it as a ratio. In this case we have $7.8=\frac{78}{10}$

Part B:
We need a number that can't be written as a ratio (because it neither terminates nor repeats). Some common ones are $\sqrt{2}$ , $e$ , $\phi$ and $\pi$ so it makes sense to try and use those to build our number. In this case $\frac{11\sqrt{2}}{5}\approx7.78$ works nicely.