Find the missing side of each triangle using the Pythagorean Theorem. Leave your answers in simplest radical form (not a decimal!)

State if the three side lengths form an acute, obtuse, or right triangle. 7) 3 mi, 12 mi, 13 mi. 8) 5 m, 12 m, 13 m. 9) 5 2 ...

In triangle ABC, ∠A is a right angle and m∠B = 45°. Find BC. If your answer is not an integer, leave it in simplest radical form. a. 14 2 ft b ...

(c) Use the Pythagorean Theorem to determine the length of the altitude, BD, in simplest radical form. (d) Write each ratio in the chart. Short leg : Hypotenuse.

Recall: By the Triangle Inequality Theorem, the sum of any two side lengths of a triangle is greater than the third side length. Determining if a triangle ...

The Pythagorean Theorem states: If a triangle is a right triangle, then the sum of the squares of the lengths of the two legs of the triangle is equal to the ...

Pythagorean Theorem: If a triangle is a right triangle, then the square of the length of the longest side is equal to the sum of the squares of the.

Trigonometry Prerequisite: Special Right Triangles. Special Right Triangles: 30º - 60º - 90º. Hypotenuse = 2 * Short Leg. Long Leg = Short Leg * 3. Find the ...

Plan: To prove the Pythagorean Theorem, draw the altitude to the hypotenuse. Then use the relationships in the resulting similar right triangles. Proof: Step 5 ...

Special Right Triangles. Find the missing side lengths. Leave your ... Worksheet by Kuta Software LLC. 9) u v. 8. 60°. 10). 8 5 x y. 60°. 11) x. 5 3 y. 60 ...