Given a & # 178; + B & # 178; + C & # 178; = AB + AC + BC, judge the relationship between a, B and C

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• 1. Given that the lengths of three sides of a triangle a, B, C satisfy a & # 178; + B & # 178; + C & # 178; - AB BC AC = 0, try to judge the shape of the triangle
• 2. If the square of a + the square of B + the square of C - AB BC AC = 0, try to explore the size relationship between ABC
• 3. It is known that a, B and C are the three sides of the triangle ABC. The comparison of the square of (a + B + C) is 2 (AB + BC + AC)
• 4. The square of ab-b-bc + AC Factorization
• 5. A ^ 2 + B ^ 2 + C ^ 2-ab-bc-ac = 0, the size relationship of ABC ABC is all positive
• 6. Compare the size of a * + b * + C * and ab + BC + AC. * = 2
• 7. In RT △ ABC, angle c = 90 degrees, angle a = 50 degrees, ab = 5, find the length of BC and AC
• 8. For a RT triangle ABC, ∠ B is 90 °, BC is 8 m long, AB and AC are 1.6 m long, the length of AB is calculated I'll give you more points if you get it right!
• 9. In the RT triangle ABC, ∠ C = 90 degrees, AC + BC = 7 / 2, ab-bc = 1 / 2. Find the length of ab
• 10. In the triangle ABC, ∠ C = 90 degrees, a = 1. B = 3, find C. in the triangle ABC, ∠ C = 90 degrees, ab = 3. AC = 2. 5, find BC 3. The two sides of the right triangle are a = 5. B = 12. Ask the third side C! Heroes, come and help! The answer will be given tonight! Seek detailed answer!! thank you very much!!
• 11. In △ ABC, ∠ ABC = 90 degrees, D, E on AB, ad = AC, be = BC, try to judge whether the size of ∠ DCE is related to the size of ∠ B, if so, ask for the relationship between them, determine the degree, and explain the reason wait anxiously A |\E | D C -----------B Can't upload graphics, so that means. I hope I can understand it. A. B and C are △ and there are lines from e to C and D to C respectively.
• 12. If we know the square of a + the square of B + the square of C - AB BC AC = 0, we can judge the size relation of ABC quickly
• 13. Prove that a ^ 2 + B ^ 2 + C ^ 2-ab-ac-bc is a nonnegative number
• 14. Given a + B + C = 0, AB + BC + AC = 0, prove a = b = C = 0
• 15. It is known that a + B + C = 2,0
• 16. In the triangle ABC, BC = a, AB + AC = L, make a vertical line from the bisector of the outer angle a 'of the angles B and C, and prove that BD * AE = fixed value with the perpendicular feet of D and E
• 17. Given △ ABC, linear L ⊥ AB, l ⊥ AC, prove L ⊥ BC
• 18. It is known that plane α and β satisfy α⊥ β, α∩ β = L, straight line AB is in plane α, ab ⊥ L, straight line BC and de are in plane β, and BC ⊥ de. the proof is AC ⊥ De
• 19. In △ ABC. Ab ⊥ AC, ad ⊥ BC in D, the proof: 1 / ad ^ 2 = 1 / AB ^ 2 + 1 / AC ^ 2 So in the tetrahedral ABCD, what kind of conjecture can you get by analogy with the above conclusion, and explain the reason
• 20. Given a + B + C = 0, prove AB + BC + AC = 1