Question

Q) two sides of a triangle are 7 units and 10 units. Which of the following can be the length of the third side?
(a)19 cm
(b)17 cm
(c)13 cm
(d)3 cm​

Answer 1

Answer:

Option c)13 cm.

Step-by-step explanation:

We know that the sum of two sides of a triangle is greater than the third side.

Also, the difference of two sides of a triangle is smaller than the third side.

∴ 10 units + 7 units = 17 units

∴ 10 units - 7 units = 3 units

From the above calculations we can conclude that the third side of the triangle is LESS THAN 17 UNITS and MORE THAN 3 UNITS.

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Answer 2

Answer:

c) 13cm

Step-by-step explanation:

Let 'x' be the third side

By triangle in-equality theorem:

10-7<x<10+7

3<x<17

which is nothing but 13cm.