Pythagoras Theorem: 32 + 42 = 52?

Click For Summary
The discussion focuses on the application of the Pythagorean theorem, specifically the calculation of a triangle's hypotenuse. The correct formula is a² + b² = c², where a and b are the triangle's legs, and c is the hypotenuse. The example given, 3² + 4² = 5², illustrates that 9 + 16 equals 25, confirming that c equals 5 when taking the square root. A link to a resource on the theorem is provided for further clarification. Understanding this theorem is essential for solving problems related to right triangles.
hell18
Messages
21
Reaction score
0
to work out a traingle side e.g. 52

is it we first times the 3 by itself to get 9 and then we times the 4 x 4 to get 16. then we take away the difference to get 52?

9 + 16 = 25

Formula
32 + 42 = 52

is this correct?
 
Last edited:
Mathematics news on Phys.org
To work out the hypoteneuse's (the side which does not end in a 90 degree angle) length, you square the first side and add it to the square of the second side. Then take the square root of the third side.

a2 + b2 = c2

32 + 42 = c2

9 + 16 = c2

c2= 25

c = [squ]25

c = 5
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

Similar threads

  • · Replies 7 ·
Replies
7
Views
2K
Replies
2
Views
2K
  • · Replies 68 ·
3
Replies
68
Views
12K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 1 ·
Replies
1
Views
1K
Replies
4
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K