Answer to Student's Question on Right Angle Triangle

  • Context: MHB 
  • Thread starter Thread starter roni1
  • Start date Start date
  • Tags Tags
    Angle Triangle
Click For Summary
SUMMARY

The discussion addresses the fundamental property of right angle triangles, specifically that the sum of the interior angles is always 180 degrees. In a right angle triangle, one angle measures 90 degrees, leaving a total of 90 degrees for the remaining two angles. Consequently, both of these angles must be greater than 0 degrees and less than 90 degrees, ensuring that neither can exceed 90 degrees.

PREREQUISITES
  • Understanding of basic triangle properties
  • Knowledge of angle measurement in degrees
  • Familiarity with the concept of interior angles
  • Basic geometry concepts
NEXT STEPS
  • Study the properties of different types of triangles, including isosceles and equilateral triangles
  • Learn about the triangle inequality theorem
  • Explore the concept of supplementary and complementary angles
  • Investigate the application of trigonometric ratios in right angle triangles
USEFUL FOR

Students learning geometry, educators teaching triangle properties, and anyone seeking to understand the fundamentals of angle relationships in triangles.

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 $90^{\circ}$.
 

Similar threads

High School Why does the trigonometry of obtuse angles use ref angles?
  • · Replies 10 ·
Replies
10
Views
2K
High School Understanding the Pythagorean Theorem
  • · Replies 38 ·
2
Replies
38
Views
5K
MHB Find Length of Side in Right Triangle w/ 45°, 90°, and 45° Angle
  • · Replies 2 ·
Replies
2
Views
2K
MHB Can You Find the Angle in This Isosceles Triangle Problem?
  • · Replies 1 ·
Replies
1
Views
1K
MHB Act.ge.5 third angle of triangle
  • · Replies 1 ·
Replies
1
Views
1K
MHB Length of sides of right triangle with 1 angle and 1 side
  • · Replies 2 ·
Replies
2
Views
2K
MHB Acute angle of right triangles
  • · Replies 4 ·
Replies
4
Views
2K
MHB What is the Minimal Area of a Right-Angled Triangle with an Inradius of 1 Unit?
  • · Replies 1 ·
Replies
1
Views
1K
High School Why do we need angle values greater than 90 degrees?
  • · Replies 12 ·
Replies
12
Views
4K
MHB Finding the Leg Lengths of a Right Triangle with an Acute Angle of 22°
  • · Replies 2 ·
Replies
2
Views
1K