ΔABC is right-angled at B and D is a point on AC such that BD is perpendicular to AC. If BD = 6 cm and AD = 3 cm, then what will be the length of AC?
Answer & explanation
Correct answer: option 3
We know that,
P2 + b2 = h2
We have,
BD = 6 cm
AD = 3 cm
According to the given data,
AB2 = AD2 + BD2
= AB2 = 32 + 62
= AB2 = 45
We also know that, AD = \(\frac{AB^2}{AC}\)
= 3 = \(\frac{45}{AC}\)
= AC = 15 cm