Pythagorean Theorem Chapter 3 – 5. What’s a, b, & c? a & b are the two sides that form the 90° angle a & b are also known as “legs” of a right triangle.

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Presentation transcript:

Pythagorean Theorem Chapter 3 – 5

What’s a, b, & c? a & b are the two sides that form the 90° angle a & b are also known as “legs” of a right triangle c is always the ‘longest’ side of a right triangle. AKA – “hypotenuse” b a c

Formula

What does it mean? Anytime that, then the sides form a right triangle. If, then the sides do NOT form a right triangle.

Example of ‘How to Solve’ If c = 26 cm and b = 24 cm, find a. Step 1: a = 26 2 Step 2: a = 676 Step 3: a – 576 = 676 – 576 Step 4: a 2 = 100 Step 5: Answer:a = 10 cm

Practice If a = 27 mm and b = 36 mm, find c. If c = 15 cm and b = 10 cm, find a. If c = 18 ft and a = 8 ft, find b.

Test it out! Example 1:3 m, 4 m, & 5 m Example 2:12 cm, 4 cm, & 16 cm Example 3:15 in, 9 in, & 12 in Example 4:56 ft, 65 ft, & 16 ft

More Practice If a = 150 m and b = 60 m, find c. If c = 10 cm and b = 9.5 cm, find a. If c = 24 ft and a = 18 ft, find b.

Homework Pg (# 8 – 13; 20 – 27) Wednesday: Show the formula! –Pg 165 # 14 – 19 –Pg 169 # 5 – 10