Geometry Section 8.1 & 8.2 Name: Pythagorean Theorem and its ...

Geometry Section 8.1 & 8.2Pythagorean Theorem and its ConverseName:__________________Date:_________ Period:____Target Goals:1. To use the Pythagorean Theorem2. To use the Converse of the Pythagorean Theorem3. To solve for missing sides of 45-45-90 triangles.Review from yesterday!!!Solve for x, leave in simplest radical form, no decimals!!!1.) 2.) 3.)What type of triangle is formed by the side lengths?4.) 4,5,6 5.) 3,4,6 6.) 3 ,2,37.) 15,36,39 8.) 11, 7 ,4 9.) 19,20,28Find x, leave all answers in simplest radical form…no decimals!!10.) 11.)2727 ccv50x 40X

Now that we feel comfortable with right triangles, lets learn about a special right triangle.45-45-90 Right TrianglesThe acute angles of an isosceles right triangle are both __________ . Another name foran isosceles right triangle is a ____________________________.Theorem 8.5In a 45-45-90 triangle, both legs are ________________ and the length ofthe hypotenuse is ________ times the length of one of the legs.EXAMPLES: Find the value of each variable.1.) 2.) 3.)x45 17 2y4.) 5.). 45 12x6.) A high school softball diamond is a square. 7.) CHALLENGE (2 problems in your homework)The distance from base to base is 60ft. To thenearest foot, how far does a catcher throw the ball6from home plate to second base?5 2