In ΔABC, &ang;B = 90°. If AB = 12units and BC = 5units, find: cot C

In ΔABC, ∠B = 90°. If AB = 12units and BC = 5units, find: cot C - Mathematics

In ΔABC, ∠B = 90°. If AB = 12units and BC = 5units, find: cot C

Sum

In ΔABC,
AC² = AB² + BC²
⇒ AC = `sqrt("AB"^2 + "BC"^2)`
⇒ AC = `sqrt(12^2 + 5^2)`
= `sqrt(144 + 25)`
= 13
AB = 12units
BC = 5units
AC = 13units
cot C

= `"Base"/"Perpendicular"`

= `"BC"/"AB"`

= `(5)/(12)`.

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