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If a ,b ,c be the sides of A B C and eq...

If `a ,b ,c` be the sides of ` A B C` and equations `a x 62+b x+c=0a n d5x^2+12+13=0` have a common root, then find `/_Cdot`

Text Solution

Verified by Experts

The correct Answer is:
`angle C = 90^(@)`
Roots of equation `5x^(2) + 12 x + 13 = 0` are imaginary
Hence, both equation have same roots
`therefore a : b:c = 5 :12: 13`
`therefore a = 5k , b = 12k , c = 13k `
Here `c^(2) = a^(2) + b^(2) `
`rArr angle C = 90^(@)`
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