Pythagorean Theorem Indicator: G3a: Use Pythagorean Theorem to solve right triangle problems.

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Presentation transcript:

Pythagorean Theorem Indicator: G3a: Use Pythagorean Theorem to solve right triangle problems

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 = c = 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 ? ? 6.25

Will a 7–foot square mirror fit diagonally through this door way?? 3ft 6.5 ft a 2 + b 2 = c = c = c = 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 b 2 = b 2 = b 2 = b = (is b Q or I) or b 8.3

Assignment 11-3/ 482/ 11-30