Theorem: In a 30° -60°-90° Triangle, the length of the side opposite 60° is 3 times the length of the other leg. Given: Right SABC, A is the right angle and muc= 30° Prove: GOO 300 Statements Reasons 1. 1. Given 2. m.&C= 30° 2. 3. 3. Pythagorean Theorem 4. 4. In a 30-60-90' Triangle, the length of the hypote- nuse is twice the length of the side that is opposite the side that measures 30'. 5. (2AB)' = AB + AC- 5. 6. AC = 4(AB) - (AB) AC = 3(AB) 6. 7. 7. Get the square root of both sides, 8. In a 30° -60°- 90 Triangle, the length of the side opposite 60° is 3 times the length of the other leg.
Given 2. m.&C= 30° 2. 3. 3. Pythagorean Theorem 4. 4. In a 30-60-90' Triangle, the length of the hypote- nuse is twice the length of the side that is opposite
