Pythagorean Theorem Involving Radical Expressions

Find the measure of the missing side. SIMPLIFY your radical answer completely.

• 21√2

• 2√21

• √116

Find the value of y. Express in simplest radical form.

• 10025

Find the value of y. Express in simplest radical form.

• 10  

Find the value of y. Express in simplest radical form.

Find the value of y. Express in simplest radical form.

• 30  

• 900  

A repairman leans the top of an 8-ft ladder against the top of a stone wall. The base of the ladder is 6 ft from the wall. How tall is the wall? Express in simplest radical form.

• 10

A river runs straight through the center of a park. A man stands on one bank of the river, and his daughter stands across the river and 22 ft upstream. The man's son swims from the man to his daughter. If the river is 11 ft wide, how far does the son swim? Express in simplest radical form.

Find the value of y. Express in simplest radical form.

• 60

A square has a side length of 10 yds. What is the length of the diagonal of the square? Express in simplest radical form.

• 200

What is the final step in solving this work for c?

• Divide both sides by 2

• Take the square root of both sides