Square of a plus square of B plus square of C minus AB minus AC minus BC minus AC
a²+b²+c²-ab-bc-ac
=(1/2)[(a²-2ab+b²)+(b²-2bc+c²)+(c²-2ac+a²)]
=(1/2)[(a-b)²+(b-c)²+(c-a)²]
Learning from the sea
RELATED INFORMATIONS
- 1. (a + B + C) (the square of a + the square of B + the square of C minus AB minus BC minus AC
- 2. AB (BC minus a square) plus BC (AC minus b square) plus AC (AB minus C Square) 10 out of (x-1) + 1 out of (X-2 + 3x-4) Find the determinant
- 3. 3 / a = 4 / b = 5 / C, find AB BC AC / a square + b square + C square
- 4. If a, B and C are the lengths of the three sides of a triangle, and A2 + B2 + C2 = AB + BC + Ca, we can judge the shape of the triangle and explain the reason
- 5. What triangle is ABC if the side length of 1 satisfies (a-b) (A2 + b2-c2) = 0? (2 represents Square)
- 6. In the triangle ABC, A-B = (A2 + c2-b2 / 2a) - (B2 + c2-a2 / 2b) is used to judge the shape of the triangle
- 7. Higher one super hard function The function defined in satisfies that f (x) is equal to y (x) plus f (y)
- 8. hard Given that f (x) = 1 + log (3) x, (x belongs to [1,27]), find the maximum and minimum values of the function y = [f (x)] - 2F (x ^ 2)
- 9. F (x) = 2x & # 178; - ax + 3, X ∈ [- 2,3] find the maximum and minimum of this function,
- 10. The proof of inequality (sinA)^2+(sinB)^2=5(sinC)^2 A. B and C are the three inner angles of a triangle Verification: sinc is less than or equal to 0.6
- 11. Given that A-B = 2 + change sign 3, B-C = 2 - change sign 3, find the value of a's square + B's square + C's Square AB AC BC
- 12. Given 3 / a = 4 / b = 5 / C, find the value of the square of AB BC + AC / A + the square of B + the square of C
- 13. We know that a triangle with three sides a, B and C satisfies the condition that a square plus b square plus C square equals AB + BC + AC
- 14. If the three sides a, B and C of a triangle satisfy that the square of a plus the square of B plus the square of C equals AB plus AC plus BC
- 15. If the three sides of a triangle A.B.C satisfy that the square of a plus the square of B plus the square of C equals AB plus AC plus BC, try to determine the shape of the triangle
- 16. It is known that the three sides of a triangle are a, B and C respectively, and the square of a + the square of B + the square of C equals AB + AC + BC, Please guess what shape this triangle is and explain your reason Thank you for your help!!!!!!!!! I'm in a hurry
- 17. Given that a plus B equals 3, B plus C equals 2, a plus C equals 5, find a square plus b square plus C square plus AB plus AC plus BC
- 18. If ABC is a real number, a ^ 2 + B ^ 2 = 7, B ^ 2 + C ^ 2 = 8, C ^ 2 + A ^ 2 = 9, then the minimum value of AB + BC + AC is
- 19. Given that ABC is a real number with complementary equality, we prove that a ^ 4 + B ^ 4 + C ^ 4 > ABC (a + B + C)
- 20. Let ABC be non-zero real numbers which are not equal to each other, and prove three equations It is impossible to prove that three equations ax ^ 2 + 2bx + C = 0, BX ^ 2 + 2cx + a = 0, CX ^ 2 + 2aX + B = 0 have two equal real roots