Right triangle problem,please check

Click For Summary
SUMMARY

The discussion centers on solving a right triangle problem involving segments TN, NK, ST, and SN, with ST measuring 12 and SN equal to √69. The Pythagorean Theorem is applied to derive the length of TK. The solution involves marking the unknown leg of the triangle and setting up two equations based on the theorem, ultimately leading to the correct answer.

PREREQUISITES
  • Understanding of the Pythagorean Theorem
  • Basic knowledge of right triangle properties
  • Ability to set up and solve equations with two unknowns
  • Familiarity with geometric median concepts
NEXT STEPS
  • Study the Pythagorean Theorem in-depth
  • Learn about geometric medians in triangles
  • Practice solving problems involving two-variable equations
  • Explore properties of right triangles and their applications
USEFUL FOR

Students studying geometry, mathematics educators, and anyone looking to enhance their problem-solving skills in right triangle scenarios.

zafer
Messages
16
Reaction score
0
Right triangle problem,please check!

Homework Statement


In the figure,TN=NK, ST=12 and SN=[tex]\sqrt{69}[/tex].Find the length of TK.
[PLAIN]http://img695.imageshack.us/img695/633/50042657.png


Homework Equations


Pythagorean Theorem


The Attempt at a Solution


Segment SN is the median of the right triangle.Here its not given the other leg how can we find a or b ?
 
Last edited by a moderator:
Physics news on Phys.org


There are two right angled triangles on the picture. They have a common side. Although you do not know the length of it, I would suggest you mark it with some letter. Then, write out Pythagora's Theorem for both of them. You will have two equations for two unknowns.
 


Yes,you are right, thanks a lot.I got the correct answer
 

Similar threads

Solving an oblique triangle. Looking for a correctness check
  • · Replies 3 ·
Replies
3
Views
2K
What is the perimeter of triangle APQ in this geometry problem?
  • · Replies 4 ·
Replies
4
Views
2K
Calculate the Unknown Angle of a Right Triangle
  • · Replies 2 ·
Replies
2
Views
2K
Portion of Altitude of a Triangle Inscribed in a Circle
  • · Replies 9 ·
Replies
9
Views
4K
What is the formula for finding the altitude of a right triangle?
  • · Replies 9 ·
Replies
9
Views
3K
Right triangle with four jointed links
  • · Replies 7 ·
Replies
7
Views
3K
Geometry problem,very intersting, please check
  • · Replies 6 ·
Replies
6
Views
2K
Coordinate Geometry(Right Triangle)
  • · Replies 7 ·
Replies
7
Views
6K
How Can I Calculate the Height of a Building Using Right Angle Trigonometry?
  • · Replies 11 ·
Replies
11
Views
6K
MHB Distance Between Intersection Points of Bisectors & Medians in Right Triangle
  • · Replies 7 ·
Replies
7
Views
4K