Polygons: Areas Homework Help & Hints

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SUMMARY

This discussion centers on understanding the area of polygons, specifically triangles, using various formulas such as SAS, ASA, and SSS (Heron's formula). The user expresses confusion regarding the notation used in the homework problem, particularly the square brackets indicating areas of shapes, e.g., [ABC] and [BDG]. Clarification is provided that the square bracket notation refers to the area of the shape rather than angles, resolving the user's uncertainty about the measurement units.

PREREQUISITES
  • Understanding of triangle area formulas: SAS, ASA, SSS (Heron's formula).
  • Familiarity with geometric notation, specifically square bracket notation for areas.
  • Basic knowledge of polygon properties and relationships.
  • Ability to interpret and analyze mathematical problems involving shapes.
NEXT STEPS
  • Research the derivation and applications of Heron's formula for triangle area calculation.
  • Learn about geometric notation and its standard conventions in mathematics.
  • Explore the properties of polygons and how area calculations differ among various shapes.
  • Practice solving problems involving ratios of areas in geometric figures.
USEFUL FOR

Students studying geometry, educators teaching polygon area calculations, and anyone seeking clarification on geometric notation and problem-solving techniques.

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Homework Statement



(I have attached the problem to this post as a file)

Homework Equations



In class we learned other fomulas for the area of a triangle using the SAS case, ASA and SSS (Heron's).

The Attempt at a Solution



I am honestly so confused with this one. I have a bunch of random facts that are basically given in the question like [AFB]/[FEB] = AF/FE = 1. That CD/DE = 1/4. But I can't even solve (a). Any help or hints would be really appreciated.
 

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I've never seen the square bracket notation before, but I'm guessing that [ABC] would mean the angle at B subtended by the lines AB and BC?

So when the question says that [BDG] = 2, it's 2 what? 2 degrees?
 
Mentallic said:
I've never seen the square bracket notation before, but I'm guessing that [ABC] would mean the angle at B subtended by the lines AB and BC?

So when the question says that [BDG] = 2, it's 2 what? 2 degrees?

Oh sorry! I didn't know if that was standard notation or not... It just means the area of that shape :)
 

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