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.

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Presentation transcript:

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

Example: 30° 60° 6 in c b Step 1: Step 2: Step 3: Step 4 :

 BUT, what if the side across from the 30° angle isn’t given? What if the side that is being looked for isn’t the hypotenuse?

A) When the hypotenuse is given, you can find the side opposite the 30° by solving for a. c = 2a is the same as 30° 60° 10 ft Step 1: Step 2: Step 3: Step 4: c = a 2

B) When the hypotenuse is given, you can also find the side opposite the 60° by solving for a. 30° 60° 10 ft Step 1: Step 2: Step 3: Step 4: 1.) Find the side opposite of the 30° angle. 2.) Use Pythagorean Theorem to solve using the given angle and the found angle in step 1. Step 1: Step 2: Step 3: Step 4:

45°, 45°, and 90° - Special Rule Because this type of triangle is also an isosceles triangle, the legs are always congruent. Use pythagorean theorem where the legs are the same measure. 45° a b c

Example: 45° c 6m b Step 1: Step 2: Step 3: Step 4 :

YOUR TURN: Go to page 268 of your textbook and complete the “Your Turn” problems.

HOMEWORK: pg. 269, #4-16 (even)