Body Mass Index (BMI) is calculated using a person’s height and weight to determine their body fat relative to their body structure.
The formula for BMI is:
\(BMI = \frac{Weight (kg)} {Height (m)^2}\)
It is a simple tool to classify individuals into categories like underweight, normal weight, over-weight, or obese.
- Option (a): Only height is insufficient for BMI.
- Option (b): Weight alone cannot determine BMI.
- Option (c): Lean tissue is not directly measured by BMI.
Thus, BMI depends on both height and weight.
In the adjoining figure, $\triangle CAB$ is a right triangle, right angled at A and $AD \perp BC$. Prove that $\triangle ADB \sim \triangle CDA$. Further, if $BC = 10$ cm and $CD = 2$ cm, find the length of AD. 