Find Area of Triangle QLP & XYZ in Hexagon

Click For Summary

Homework Help Overview

The problem involves finding the area of two specific triangles, QLP and XYZ, within a hexagon formed by attaching squares to the sides of a right-angled triangle. The context suggests a geometric approach to area calculation.

Discussion Character

  • Exploratory, Problem interpretation, Assumption checking

Approaches and Questions Raised

  • Participants discuss the area calculation for the triangles and the overall figure, with one suggesting a formula for triangle area involving sine. Another participant mentions the relationship between the triangles and squares, proposing a method to reposition them to form a rectangle.

Discussion Status

The discussion has seen various approaches to understanding the area of the triangles in question. Some guidance has been offered regarding geometric relationships, but there is no explicit consensus on the final solution.

Contextual Notes

Participants are working with a figure that is not provided in the text, which may limit the clarity of the discussion. The original poster has indicated that they have calculated part of the area but are specifically seeking help with the two triangles.

ritwik06
Messages
577
Reaction score
0

Homework Statement



A right angled triangle has 3 squares attached to each side(the measure of each is givn in the figure). a hexagon is thus formed. Find its area.

Homework Equations



none

The Attempt at a Solution


I have found the area of the figure except for the following triangles.
triangle QLP and triangle XYZ
Please help me with these two triangles!
 
Last edited:
Physics news on Phys.org
The figure is here

The figure is here
 

Attachments

  • Question.JPG
    Question.JPG
    10.6 KB · Views: 444
It may help to know that you can find the area of a triangle to be:

[tex]A = \frac{1}{2}ab\sin C[/tex]
 
Last edited:
You want the sum of the areas of four regions:

Two are squares, and two are triangles which together can be repositioned to form a rectangle. a*a, b*b, and two of a*b.
 
Thanks, the problem seems solved. Thanks a lot!
 

Similar threads

  • · Replies 9 ·
Replies
9
Views
4K
  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 9 ·
Replies
9
Views
2K
Replies
3
Views
2K
  • · Replies 15 ·
Replies
15
Views
3K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 4 ·
Replies
4
Views
4K
  • · Replies 12 ·
Replies
12
Views
3K
  • · Replies 9 ·
Replies
9
Views
3K