Question

6. Which of the following lengths cannot be the sides of the triangle ? 1

a.) AB = 8cm, BC = 8cm , AC = 8cm b.)XY = 15cm , YZ = 20cm, XZ =25cm

c. DE = 10cm , EF = 4cm, DF = 5cm d all the above​

Answer 1

Answer:

DEF will not form any Triangle.

Step-by-step explanation:

a) AB = 8cm, BC = 8cm, AC = 8cm

∴ AB = BC = CA.  and ΔABC is a equilateral triangle.

b) XY = 15cm, YZ = 20cm, ZX = 25cm

∴ (XY + YZ) > ZX i.e. sum of the smaller sides is greater than the largest side.

∴ XYZ will form a triangle.

c) DE = 10cm, EF = 4cm and FD = 5cm

∴ EF + FD = 9cm < DE i.e. sum of the smaller sides is lesser than the largest side.

∴ DEF will not form any Triangle.