Sarthaks Test
+1 vote
in Mathematics by (7.9k points)

In ΔABC, if ∠A = 40° and ∠B = 60°. Determine the longest and shortest sides of the triangle.

1 Answer

+1 vote
by (13.1k points)
selected by
Best answer

Given that in ΔABC, ∠A = 40° and ∠B = 60°

We have to find longest and shortest side

We know that,


⇒ 40°<60°<80° ⇒ ∠A < ∠B < ∠C

⇒ ∠C is greater angle and A is smaller angle


∠A < ∠B < ∠C

BC < AC < AB

[∵ Side opposite to greater angle is larger and side opposite to smaller angle is smaller]

∴ AB is longest and BC is smallest or shortest side.

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.