In a right-angled triangle ABC such that ∠BAC = 90o and AD is perpendicular to BC. If the area of ΔABC is 63 cm2, area of ΔACD = 7 cm2, and AC = 5 cm, then the length of BC is equal to:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 15 cm.
Triangle ABC and Triangle ADC are similar triangles.
So,
Area of triangle ABC/Area of triangle ABC = BC2/AC2
⇒ 63/7 = BC2/52
BC = = 15 cm