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CGP EDU Academic Team
Published on: August 12, 2026
If in a triangle ABC, right angle at B, s − a = 3 and s − c = 2, then
Text Solution
Verified by ExpertsThe correct answer is:
B
s – a = 3 ...(1) and s – c = 2 ...(2)
by (1) – (2), we get
c – a = 1
(1) + (2), we get 2s – a – c = 5 ⇒ b = 5
Δ ABC is right angled at B
∴ a 2 + c 2 = 25 ...(3)
∴ (c – a) 2 + 2ac = 25
ac = 12 ...(4)
∴ a(1 + a) = 12 ⇒ a 2 + a – 12 = 0
⇒ (a + 4) (a – 3) = 0
⇒ a = 3 and c = 4.
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