Following are some measurements of sides,Check whether they can form a

1.	Following are some measurements of sides,Check whether they can form a triangle .a) 6,8,12b) 5,9,3c) 11,6,6d) 80,15,60e) 8,6,10f) 6,6,6Give the step by step explanation please yaar it is urgent
Answer» Steps to check WHETHER they can form a triangle : Use triangle inequality theorm : ADD the two smaller measurements of sides. According to triangle inequality theorm, The SUM of the two smaller sides is greater than the third side. If the sum of the smaller sides is not greater then the third side it cannot form a triangle. If the sum of the smaller sides is greater then the third side it can form a triangle. Then, We will get our answer. Let's do the GIVEN questions now - a) 6,8,12 b) 5,9,3 c) 11,6,6 d) 80,15,60 e) 8,6,10 f) 6,6,6 Now, As we see - a) 6,8,12 Here, The smaller sides are - 6 & 8 $\implies \sf 6 + 8$ $\implies \sf 14$ $\sf \implies12 < 14$ ∴ Hence, 6,8,12 will form a triangle. b) 5,9,3 Here, The smaller sides are - 5 & 3. $\implies \sf 5 + 3$ $\implies \sf 8$ $\sf \implies 9 > 8$ ∴ Hence, 5,9,3 will not form a triangle. c) 11,6,6 Here, The smaller sides are - 6 & 6. $\implies \sf 6 + 6$ $\implies \sf 12$ $\sf \implies11< 12$ ∴ Hence, 11,6,6 will form a triangle. d) 80,15,60 Here, The smaller sides are - 15 & 60. $\implies \sf 15 + 60$ $\implies \sf 75$ $\implies \sf 80 > 75$ ∴ Hence, 80,15,60 will not form a triangle. e) 8,6,10 Here, The smaller sides are - 6 & 8. $\implies \sf 6 + 8$ $\implies \sf 14$ $\implies \sf 10 < 14$ ∴ Hence, 8,6,10 will form a triangle. f) 6,6,6 Here, The smaller sides are - 6 & 6. $\implies \sf 6 + 6$ $\implies \sf 12$ $\implies \sf 6 < 12$ ∴ Hence, 6,6,6 will form a triangle.