Question
Download Solution PDFA right-angled triangle ABC is right-angled at B, and tan A = 4/3. If AC = 25 cm, the length of BC is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven, tan A = 4/3 = BC/AB
Let BC = 4x and AB = 3x
By Pythagoras theorem,
AC2 = AB2 + BC2
⇒ 252 = (3x)2 + (4x)2
⇒ 625 = 9x2 + 16x2
⇒ 625 = 25x2
⇒ x2 = 25
⇒ x = 5
∴ length of BC = 4x = 4 × 5 = 20 cmLast updated on Jul 5, 2025
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