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2/9/15 1) Draw a right triangle and label the sides. Label the legs 6cm and 9cm. Find the hypotenuse and show your work. Round to nearest hundredth. 2) Which linear equation is best represented by this graph? 2/9/15 Today’s Objective: 8.G.6 Explain a proof of the Pythagorean Theorem and its converse. 8.G.7 Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real world and mathematical problems in two and three dimensions. Today we will be focusing on word problems using the Pythagorean Theorem. What is the first thing you do when you are given a word problem? Problem One How long must a wire be to reach from the top of a 15 meter telephone pole to a point on the ground 10 meters from the foot of the pole? Jot down what you think you should do. Will’s living room is rectangular and measures 21 ft by 28 ft. Beginning in one corner, he walks the length of his living room and then turns and walks the width. Finally Will walks back to the corner he started in. How far has he walked? Introduce Darius’ Dilemma It will be due Wednesday. Homework: 6 word problems due tomorrow. Today’s Objective: 8.G.6 Explain a proof of the Pythagorean Theorem and its converse. 8.G.7 Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real world and mathematical problems in two and three dimensions. Specifically: finding the distance between 2 points. 2/10/15 1) According to the measurements, what is the length of x, in inches? 2) Write these real numbers in order from least to greatest: 60 64 , - 8.16 , - 8 ¾, 7 EXIT TICKET Which is the closet to the straight-line distance between points P and O on the grid below? WORK: Today’s Objective: 8.G.6 Explain a proof of the Pythagorean Theorem and its converse. 8.G.7 Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real world and mathematical problems in two and three dimensions. 2/11/15 1) Find x. 4 ft x 15 ft 2) Find the perimeter of the triangle. Find the perimeter of the entire object. https://www.khanacademy.org/math/recreati onal-math/vi-hart/vi-cool-stuff/v/what-wasup-with-pythagoras 5 cm Find the perimeter of the outside square. Find the perimeter of the kite. 8 in 2 in 20 in Find the perimeter of the rectangle. 10 ft 8ft 10 ft 8ft Find x and y. 6.5 m 3m x y 6.5 m 4m 4 Find the perimeter. 10 in 12 in 8 in 13 in 6 Find the perimeter of the hexagon (hint: all the sides of the hexagon a equal). 10 in 8 in 2/12/15 1) A) -30 C) 3.75 2) Find the perimeter B) -10 D) 11.25 15 in 10 in 8 in 17 in 1) The graph shows the linear function y=1/2x. If the value of x is 6, what is the value of y in this function? A) 12 B) 3 C) -3 D) -12 2/13/15 2) What is the perimeter of the figure shown ?