If a²+b²+c²=125 and ab +bc +ca =50 ,find a+b+c
Answers
Answered by
11
Answer:
15
Step-by-step explanation:
a²+b²+c²=125
=>(a+b+c)^2 -2(ab+bc+ca)=125
=>(a+b+c)^2 -2(50)=125
=>a+b+c=√225
=15
So, a+b+c=15
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Answered by
4
Answer:
the correct answer is 15
Step-by-step explanation:
find a + b + c = ?
squaring
( a+b+ c) ^2= a^2+ b^2+c^2+2ab+2bc+2ac
= a^2+b^2+c^2+2(ab+bc+ac)
= 125+2(50)
=225
= (a+b+c)^2=225
square root on both sides
=a + b + c = + or - ✓ 225
= + or - 15
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