MHB Answer to Student's Question on Right Angle Triangle

  • Thread starter Thread starter roni1
  • Start date Start date
  • Tags Tags
    Angle Triangle
AI Thread Summary
In a right angle triangle, one angle measures 90 degrees, which is the defining characteristic of this type of triangle. The sum of all interior angles in any triangle is always 180 degrees. Therefore, with one angle at 90 degrees, the remaining two angles must sum to 90 degrees. This means each of the other angles must be greater than 0 degrees and less than 90 degrees. Consequently, no angle in a right triangle can exceed 90 degrees.
roni1
Messages
20
Reaction score
0
A student ask me the question:
Why the other angles in Right angle triangle can't be more than 90 degrees?
I want to answer him correctly to the question, What Should I Say to Him?
 
Mathematics news on Phys.org
The sum of the interior angles in a triangle is $180^{\circ}$. Given that one angle is $90^{\circ}$ this leaves $90^{\circ}$ for the sum of the other two angles, which means that for either of the other angles, they must be greater than $0^{\circ}$ and less than $90^{\circ}$.
 
Thread 'Video on imaginary numbers and some queries'

Thread 'Video on imaginary numbers and some queries'

Hi, I was watching the following video. I found some points confusing. Could you please help me to understand the gaps? Thanks, in advance! Question 1: Around 4:22, the video says the following. So for those mathematicians, negative numbers didn't exist. You could subtract, that is find the difference between two positive quantities, but you couldn't have a negative answer or negative coefficients. Mathematicians were so averse to negative numbers that there was no single quadratic...
View full post »

Thread 'What Exactly is Dirac’s Delta Function? - Insight'

Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
View full post »
Thread 'Unit Circle Double Angle Derivations'

Thread 'Unit Circle Double Angle Derivations'

Here I made a terrible mistake of assuming this to be an equilateral triangle and set 2sinx=1 => x=pi/6. Although this did derive the double angle formulas it also led into a terrible mess trying to find all the combinations of sides. I must have been tired and just assumed 6x=180 and 2sinx=1. By that time, I was so mindset that I nearly scolded a person for even saying 90-x. I wonder if this is a case of biased observation that seeks to dis credit me like Jesus of Nazareth since in reality...
View full post »

Similar threads

B A Question Relating Sum of Angles and Breaking of the Parallel Postulate
Replies
6
Views
1K
B Why does the trigonometry of obtuse angles use ref angles?
Replies
10
Views
2K
B Understanding the Pythagorean Theorem
Replies
38
Views
4K
MHB Find Length of Side in Right Triangle w/ 45°, 90°, and 45° Angle
Replies
2
Views
2K
MHB Can You Find the Angle in This Isosceles Triangle Problem?
Replies
1
Views
1K
MHB Act.ge.5 third angle of triangle
Replies
1
Views
1K
MHB Length of sides of right triangle with 1 angle and 1 side
Replies
2
Views
2K
MHB Acute angle of right triangles
Replies
4
Views
1K
MHB What is the Minimal Area of a Right-Angled Triangle with an Inradius of 1 Unit?
Replies
1
Views
1K
B Why do we need angle values greater than 90 degrees?
Replies
12
Views
4K

Hot Threads

Recent Insights

Back
Top