Question

A $12cm$ wire is given a shape of a right angled triangle $ABC$ having sides $3cm,4cm$ and $5cm$ as shown in the figure. The resistance between two ends $(AB,BC,CA)$ of the respective sides are measured one by one by a multi-meter. The resistances will be in the ratio

• A. $9:16:25$
• B. $27:32:35$
• C. $21:24:25$
• D. $3:4:5$

Answer 1

The correct option is B $27:32:35$

$R_{AB}:R_{BC}:R_{CA}::\frac{3\times 9}{12}:\frac{4\times 8}{12}:\frac{5\times 7}{12}::27:32:35$

Ans. (B)