Radical Expressions and Pythagorean Theorem & Inequality Theorem

Use the Pythagorean Theorem to find the missing side length. Type you answer in simplest radical form if need be. Only type numeric value - no units of measure should be included.

Use the Pythagorean Theorem to find the missing side length. Type you answer in simplest radical form if need be. Only type numeric value - no units of measure should be included.

Use the Pythagorean Theorem to find the missing side length. Type you answer in simplest radical form if need be. Only type numeric value - no units of measure should be included.

Given the three sides of a triangle, use the Pythagorean Inequality Theorem to classify as an acute, obtuse, or right triangle.

Side lengths: 9 cm, 17 cm, and 12 cm

(a)  

Given the three sides of a triangle, use the Pythagorean Inequality Theorem to classify as an acute, obtuse, or right triangle.

Side lengths: 18 in, 9.6 in, and 20.1 in

Given the three sides of a triangle, use the Pythagorean Inequality Theorem to classify as an acute, obtuse, or right triangle.

Side lengths: 82 mm, 18 mm, and 80 mm

Simplify the following: $$5\ \sqrt[]{80x^2}$$

Answer should be in simplest radical form.

Simplify the following: $$\sqrt[]{32}$$

Answer should be in simplest radical form.

Simplify the following: $$\sqrt[]{200x^4y}$$

Answer should be in simplest radical form.

Simplify the following: $$\frac{3\ \sqrt[]{64}}{2}$$

Answer should be in simplest radical form.