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Pythagorean Theorem Indicator: G3a: Use Pythagorean Theorem to solve right triangle problems
16 9 25 a b c Pythagorean Theorem:a 2 + b 2 = c 2 Given a right triangle with sides a, b, c Hint: a is shortest side, b is next, c is longest (always across from right angle) b2b2 a2a2 c2c2
If a =3in, b=4in find the length of c a 2 + b 2 = c 2 3 2 + 4 2 = c 2 9 + 16 = c 2 25 = c 2 = c (is c Q or I) 5 in = c 16 9 c2c2 + Hint: Think of putting a + sign in the right angle symbol 4in 3in
Determine if the following are right triangles. (Is: a 2 + b 2 = c 2 true) 1) 1.5 mm, 2.5 mm, 2mm 2) 4 ft, 6 ft, 8 ft ? ? a 2 + b 2 = c 2 1.5 2 + 2 2 ? 2.5 2 2.25 + 4 ? 6.25
Will a 7–foot square mirror fit diagonally through this door way?? 3ft 6.5 ft a 2 + b 2 = c 2 3 2 + 6.5 2 = c 2 9 + 42.25 = c 2 51.25 = c 2 = c (is c Q or I) 7.2 c So, the mirror will fit.
To find other sides 4cm 9.2 cm + b a 2 + b 2 = c 2 4 2 + b 2 = 9.2 2 16 + b 2 = 84.64 -16 b 2 = 68.64 b = (is b Q or I) or b 8.3
Assignment 11-3/ 482/ 11-30
Inequalities in One Triangle
Things to do: ♥Make a new note book ♥Get out your homework (triangle worksheet)
Triangle ABC is an isosceles triangle
Learning Outcome: Learn to use the Pythagorean Theorem to identify right triangles.
The Pythagorean Theorem. The Right Triangle A right triangle is a triangle that contains one right angle. A right angle is 90 o Right Angle.
Then/Now You have already found missing measures of similar triangles. (Lesson 6–7) Use the Pythagorean Theorem to find the length of a side of a right.
A b c. This is a right triangle: We call it a right triangle because it contains a right angle.
Pythagorean Theorem By: Tytionna Williams.
Pythagorean Theorem As posted by: oints/math/pythagorean.html.
About 2,500 years ago, a Greek mathematician named Pythagorus discovered a special relationship between the sides of right triangles.
Pythagorean Theorem Mr. Parks Algebra Support. Objective The student will be able to: Find the missing side of a right Triangle using the Pythagorean.
Lessons 9.1 – 9.2 The Pythagorean Theorem & Its Converse
MA.912.G.5.1 : Apply the Pythagorean Theorem and its Converse. A.5 ft B.10 ft C. 15 ft D. 18 ft What is the value of x? x 25 ft 20 ft.
Right Triangles And the Pythagorean Theorem. Legs of a Right Triangle Leg -the two sides of a right triangle that form the right angle Leg.
Holt Course 2 NY-10 Using the Pythagorean Theorem NY-10 Using the Pythagorean Theorem Holt Course 2 Lesson Presentation Lesson Presentation.
Learning Target: I can solve problems involving the Pythagorean Theorem. For Right Triangles Only! leg hypotenuse - always opposite the right angle.
30°, 60°, and 90° - Special Rule The hypotenuse is always twice as long as the side opposite the 30° angle. 30° 60° a b c C = 2a.
A b c. Student Expectations 8 th Grade: 8.3.7C Use pictures or models to demonstrate the Pythagorean theorem A Use the Pythagorean theorem to solve.
Objective The student will be able to:
Unit 6 Trigonometry Right Triangles LG: I can use the Pythagorean theorem to solve for sides in right triangles.
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