Question

the three sides of a triangle are 15, 25 and x units.what can be the range of the length of x?​

Answer 1

Step-by-step explanation:

Always in triangle sum of two side should be greater than third side

AB + BC > AC

i.e. 15 + x > 25

x > 10 ... (i)

and BC + AC > AB

x + 25 > 15

x > 15 - 25

x > - 20... (ii)

x < 20 and AC + AB > BC

25 + 15 > x

40 > x ... (iii)

Hence from equation (i), (ii) and (iii)

we get 10 < x < 40

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