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Home > GC > Chapter 4 > Lesson 4.1.1 > Problem 4-8

4-8.

As Randi started to solve for in the diagram at right, she wrote the equation .  

A right triangle with a base of x, a height of 7, and a hypotenuse of x + 1.

  1. Is Randi’s equation valid? Explain your thinking.

    Notice the right angle.

    Yes, she used the Pythagorean Theorem.

  2. To solve her equation, first rewrite by multiplying . You may want to review the Math Notes box for Lesson 2.2.2.

  3. Now solve your equation for .

    Use a generic rectangle to multiply the binomials.

  4. What is the perimeter of Randi’s triangle?

    Use the value of to determine the length of each side of the triangle.