Warm-up (YOU NEED A CALCLULATOR FOR THIS UNIT!)

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Presentation transcript:

Warm-up (YOU NEED A CALCLULATOR FOR THIS UNIT!) Use the Pythagorean theorem to find the missing length of the right triangle. Round to the nearest tenth. 1. 2. Determine whether the given lengths are sides of a right triangle. 3. 8, 15, 17 4. 3, 6, 7 5. 9, 40, 41 c 2 17 8 5 b

Warm-up a = 6, b = 8, c = ? 2. 3. Determine if 5, 8, 10 could be the sides of a right triangle. 4. Find the midpoint between (4,7) and (-7, 11). 20 12 x

Use the Pythagorean Theorem to calculate the distance between these two points (3,4) (1,1)

The Distance Formula 1) Identify two points as ordered pairs 2) Substitute your ordered pairs into the following equation

Steps to solving the Distance Formula Write the distance formula Substitute Simplify Evaluate Powers Add Use a calculator

D = 3.16 Let's Practice!! Example #1 Use the distance formula to find the distance between (1, 4) and (-2, 3) D = 3.16

Example #2 Use the distance formula to find the distance between the points, (10, 5) and (40, 45). D = 50

3. Find the distance between the points. Round to the nearest tenth. 3.6

4. Find the distance between the points. Round to the nearest tenth. 5.4

5. Find the distance between the points. Round to the nearest tenth.

Midpoints

Midpt. for a Coordinate Plane (two dimensional)

Ex: 3 Find the coordinates of M, the midpt. of JK, given endpts J(2, -9) and K(8, 3).

Ex: 4 Find the coordinates of N given the endpts V(-4, -3) and W(6, 11).

Suppose K(-10, 17) is the midpt of IJ and the coordinates of J are (4, 12). Find the coordinates of I. X-coordinate of I Y-coordinate of I

Homework Page 195 #1-9 odd, 17-21 odd, 22-24 all