ISOSCELES RIGHT TRIANGLE
Definition Of Isosceles Right Triangle
A right triangle in which two sides and two angles are equal is called Isosceles Right Triangle.
More About Isosceles Right Triangle
In an isosceles right triangle, the angles are 45°, 45°, and 90°.
Isosceles right triangle satisfies the Pythagorean Theorem.
The length of the hypotenuse in an isosceles right triangle is
times the side's length.
Video Examples: How to solve the Right Isosceles triangle? 45-45-90
Example of Isosceles Right Triangle
The given figure is an isosceles right triangle as the sides AB and BC are equal in length and angle B is a right angle.
Solved Example on Isosceles Right Triangle
Ques: Which of the following is an isosceles right triangle?
Choices:
A. Figure 3
B. Figure 1
C. Figure 4
D. Figure 2
Correct Answer: D
Solution:
Step 1: An isosceles right triangle has two sides equal and measure of one of its angles is 90°.
Step 2: Here, Figure 2 is an isosceles right triangle.
Quick Summary
- Two angles are 45 degrees, and one is 90 degrees.
- Two sides (legs) are equal in length.
- Hypotenuse is √2 times the length of a leg.
- Satisfies the Pythagorean Theorem.
🍎 Teacher Insights
Use visual aids and real-world examples to illustrate the properties of isosceles right triangles. Emphasize the relationship between side lengths and angles. Connect it to the Pythagorean theorem.🎓 Prerequisites
- Right Triangles
- Pythagorean Theorem
- Isosceles Triangles
- Angle Measurement
- Basic Algebra
Check Your Knowledge
Q1: Which of the following is an isosceles right triangle?
Q2: If one of the legs of an isosceles right triangle is 5, what is the length of the hypotenuse?
Frequently Asked Questions
Q: What is the relationship between the sides of an isosceles right triangle?
A: If the length of each leg is 'a', then the length of the hypotenuse is a√2.
Q: Are the angle measures fixed in an isosceles right triangle?
A: Yes, they are always 45°, 45°, and 90°.