MHB Right Isosceles triangle: solve for the length of the unknown legs

  • Thread starter Thread starter urekmazino
  • Start date Start date
  • Tags Tags
    Length Triangle
Click For Summary
In a right isosceles triangle with a hypotenuse of length 1, the lengths of the legs can be found using the Pythagorean theorem. Setting the length of each leg as "x," the equation becomes x² + x² = 1², simplifying to 2x² = 1. Solving for x gives x² = 1/2, leading to x = √(1/2). Rationalizing the denominator results in x = √2/2. Thus, the length of each leg in the triangle is √2/2.
urekmazino
Messages
3
Reaction score
0
For a right isosceles triangle (45-45-90) of hypotenuse 1, solve for the length of the unknown legs. Give an exact answer and rationalize the denominator in the final answer.
 
Mathematics news on Phys.org
kindly in form what you have tried so that we can help you
 
Call the length of each leg "x" and set up the Pythagorean theorem. Solve for x.
 

Similar threads

MHB Finding the Leg Lengths of a Right Triangle with an Acute Angle of 22°
  • · Replies 2 ·
Replies
2
Views
1K
I Properties of the legs of a right triangle
  • · Replies 3 ·
Replies
3
Views
1K
MHB Can You Find the Angle in This Isosceles Triangle Problem?
  • · Replies 1 ·
Replies
1
Views
1K
MHB Find Length of Side in Right Triangle w/ 45°, 90°, and 45° Angle
  • · Replies 2 ·
Replies
2
Views
2K
MHB Integer-Sided Right Triangle: 2001 Leg Length & Minimum Other Leg Length
  • · Replies 2 ·
Replies
2
Views
2K
MHB Finding Side Lengths of Tangram Shapes
  • · Replies 5 ·
Replies
5
Views
5K
MHB Find the height and base of a trapezium
  • · Replies 1 ·
Replies
1
Views
2K
MHB Acute angle of right triangles
  • · Replies 4 ·
Replies
4
Views
1K
MHB *8s6.12.7 Find the lengths of the ides of the triangle PQR
  • · Replies 2 ·
Replies
2
Views
2K
MHB Prove Triangle ABC is a Right Triangle
  • · Replies 1 ·
Replies
1
Views
1K