Math Problem Statement

What are the measures of the angles in an isosceles right triangle?

Solution

The question asks for the angle measures of an isosceles right triangle.

An isosceles right triangle has:

  • Two equal angles and one 90° angle (because it is a right triangle).
  • The sum of the angles in any triangle is 180°.

Since one angle is 90°, the remaining 90° is equally divided between the two other angles. Thus, each of the two equal angles is: 902=45\frac{90^\circ}{2} = 45^\circ

So, the correct answer is: D. 45°, 45°, and 90°

Would you like more details or have any questions? Here are some related questions to expand your understanding:

  1. How can you identify an isosceles triangle from its angles?
  2. What is the significance of a right triangle in trigonometry?
  3. What are the properties of a 30°-60°-90° triangle?
  4. How can the Pythagorean theorem apply to isosceles right triangles?
  5. How do you calculate the side lengths of a 45°-45°-90° triangle?

Tip: For any right triangle, the sum of the two non-right angles must always equal 90°.

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Math Problem Analysis

Mathematical Concepts

Geometry
Triangles
Right Triangles
Isosceles Triangles

Formulas

Sum of angles in a triangle = 180°
45°-45°-90° Triangle

Theorems

Triangle Angle Sum Theorem

Suitable Grade Level

Grades 7-9