Question

If \(\triangle ABC\) is a right triangle right angled at \(C\) and let \(BC = a\), \(CA = b\), \(AB = c\) and let \(p\) be the length of perpendicular from \(C\) on \(AB\), then:

• A. \(cp = ab\)
• B. \(\frac{1}{p^2} = \frac{1}{a^2} + \frac{1}{b^2}\)
• C. \(a^2 + b^2 = p^2\)
• D. None

Hint:

In a right-angled triangle, the length of the perpendicular from the right-angle vertex to the hypotenuse is related to the sides by the formula \(cp = ab\).

Answer 1

The Correct Option is A

For a right-angled triangle, the length of the perpendicular drawn from the right-angle vertex to the hypotenuse can be calculated by the formula \(cp = ab\), where \(a\) and \(b\) are the legs and \(c\) is the hypotenuse of the triangle. Thus, the correct answer is option (1).