Math Problem Statement

Solve for the missing side in the given 45-45-90 right triangles and simplify square root expressions.

Solution

I see you've uploaded an image containing math problems involving right triangles, possibly related to trigonometry or the Pythagorean theorem.

Would you like help with a specific problem from the homework or an explanation of any particular concept? Feel free to point out which problems you'd like to discuss further.

Here are a few related questions that could expand on the current problems:

  1. What are the properties of 45-45-90 triangles, and how do they relate to the problems above?
  2. How can you derive the trigonometric ratios for right triangles?
  3. What is the general process for solving a Pythagorean theorem problem?
  4. How do you simplify square roots when solving these types of problems?
  5. How can you find the missing sides of a triangle if given one side and the angles?

Tip: In problems involving 45-45-90 triangles, the legs are congruent, and the hypotenuse is equal to the leg times √2.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Right Triangles
45-45-90 Triangle Properties
Square Root Simplification

Formulas

Hypotenuse = Leg * sqrt(2)
Leg = Hypotenuse / sqrt(2)
Rationalization of square roots

Theorems

45-45-90 Triangle Theorem
Pythagorean Theorem

Suitable Grade Level

Grades 8-10