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Pythagorean Theorem. The Pythagorean theorem only holds true in right triangles. Pythagorean Theorem. A. B. C. Pythagorean Theorem. A. B. C. Pythagorean Theorem. A. B. C. Pythagorean Theorem. EXAMPLE : Fin d the missing side in the given right triangle. A. B. C.
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Pythagorean Theorem The Pythagorean theorem only holds true in right triangles.
Pythagorean Theorem A B C
Pythagorean Theorem A B C
Pythagorean Theorem A B C
Pythagorean Theorem EXAMPLE : Fin d the missing side in the given right triangle A B C
Pythagorean Theorem EXAMPLE : Fin d the missing side in the given right triangle A B C
Pythagorean Theorem EXAMPLE : Fin d the missing side in the given right triangle A B C This is actually a special right triangle called a 3 – 4 – 5 right triangle.
Pythagorean Theorem EXAMPLE : Fin d the missing side in the given right triangle A B C This is actually a special right triangle called a 3 – 4 – 5 right triangle. If you multiply each side by the same factor, it creates a similar right triangle.
Pythagorean Theorem EXAMPLE : Fin d the missing side in the given right triangle A B C This is actually a special right triangle called a 3 – 4 – 5 right triangle. If you multiply each side by the same factor, it creates a similar right triangle. For example : multiply each side by two and you get a 6 – 8 – 10 …
Pythagorean Theorem EXAMPLE : Fin d the missing side in the given right triangle A B C This is actually a special right triangle called a 3 – 4 – 5 right triangle. If you multiply each side by the same factor, it creates a similar right triangle. For example : multiply each side by two and you get a 6 – 8 – 10 … So if you are solving a right triangle for a side, and notice that the sides have increased by the same factor, just multiply the missing side by the same factor…
Pythagorean Theorem EXAMPLE # 2 : Fin d the missing side in the given right triangle A B C
Pythagorean Theorem EXAMPLE # 2 : Fin d the missing side in the given right triangle A B C
Pythagorean Theorem EXAMPLE # 2 : Fin d the missing side in the given right triangle A So multiply four by the missing side ( 3 ) and get the answer… B C
Pythagorean Theorem EXAMPLE # 2 : Fin d the missing side in the given right triangle A So multiply four by the missing side ( 3 ) and get the answer… B C
Pythagorean Theorem EXAMPLE # 2 : Fin d the missing side in the given right triangle A So multiply four by the missing side ( 3 ) and get the answer… B C
Pythagorean Theorem EXAMPLE # 2 : Fin d the missing side in the given right triangle A So multiply four by the missing side ( 3 ) and get the answer… B C
Pythagorean Theorem You might need to use the Pythagorean theorem to help solve an application problem. A B C
Pythagorean Theorem You might need to use the Pythagorean theorem to help solve an application problem. What is the area of the given right triangle ? A B C
Pythagorean Theorem You might need to use the Pythagorean theorem to help solve an application problem. What is the area of the given right triangle ? A B C
Pythagorean Theorem You might need to use the Pythagorean theorem to help solve an application problem. What is the area of the given right triangle ? A B C
Pythagorean Theorem You might need to use the Pythagorean theorem to help solve an application problem. What is the area of the given right triangle ? A We know the hypotenuse and one side… B C
Pythagorean Theorem You might need to use the Pythagorean theorem to help solve an application problem. What is the area of the given right triangle ? A Round to two decimal places when necessary… B C
Pythagorean Theorem You might need to use the Pythagorean theorem to help solve an application problem. What is the area of the given right triangle ? A Round to two decimal places when necessary… B C