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The Bloodhound Project Strong and light triangles

Strong and light triangles

Education News
Wednesday, 1 October, 2014
The lower chassis of BLOODHOUND SSC uses the particular quality of triangles resulting in a strong yet light construction. 
 
Triangles have three sides of various lengths and three internal angles. We measure these angles in degrees. 
 
The measure of the total internal degrees of a triangle equals 180°. Knowing this allows us to tackle the following mathematical classic:
 

The Great Pyramid

 
In the following diagram of the front view of the Great Pyramid:
 
 
The measure of the angle PRQ is 120 degrees. 
The measure of the angle PST is 110 degrees. 
 
 
 
 
 

Q. What is the measure of the angle RPS in degrees?

 
 
 
 

Answer:

Angles on a straight line add up to 180 degrees.

So, angle PRS = 180 degrees - angle PRQ = 180 - 120 degrees = 60 degrees

and, angle PSR = 180 degrees - angle PST = 180 -110 degrees = 70 degrees

The angles in a triangle add up to 180 degrees.

So angle RPS + angle PRS + angle PSR = 180 degrees

therefore angle RPS = 180 degrees - angle PRS - angle PSR = 180 - 60 - 70 degrees = 50 degrees