Question 5 - Figure it out - Page 60 - Chapter 3 Class 8 - Proportional Reasoning-2 (Ganita Prakash II)

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Question 5 Can you construct a triangle with sidelengths in the ratio 1 : 3 : 5? Why or why not? Since the sides are in the ratio 1 : 3 : 5, we can make triangle with sides 1, 3, 5 or 2, 6, 10 or 10, 30, 50 First, let’s check if triangle is possible By Triangle inequality Sum of two sides > Third side Here, 1 + 3 > 5 4 > 5 This is not true Since triangle inequality is not satisfied The triangle is not possible Checking it visually