Question

,Which of the following set of measurements will form a triangle?

a, 11cm, 4cm, 6cm
b, 12cm, 8cm, 9cm
c, None of these​

Answer 1

Answer:

b, 12cm, 8cm, 9cm.

Step-by-step explanation:

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Answer 2

Answer:

$\bf\huge\red{\mid{\underline{\overline{Question}}}\mid}$

Which of the following set of measurements will form a triangle?

$\bf\huge\blue{\mid{\underline{\overline{Answer}}}\mid}$

$\bf\huge\pink{\mid{\underline{\overline{Given}}}\mid}$

Determining if three side lengths can make a triangle is easier than it looks.

All you have to do is use the Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side.

If this is true for all three combinations of added side lengths.

i.e. a+b>c, b+c>a and C+a>b then the lengths form a triangle

$\bf\huge\orange{\mid{\underline{\overline{Lets\:Find}}}\mid}$

(A) 11+4=15>6

And 4+6=10≯11

So, it does not form a triangle

(B) 13+14=27>25

And 14+25=39>13

And 25+13=38>14

So, it forms a triangle

(C) 8+4=12>3

And 8+3=11>4

And 4+3=7≯8

So, it does not form a triangle

(D) 5+16=21>5

And 5+5=10≯16

So, it does not form a triangle.

$\bf\huge\green{\mid{\underline{\overline{Hence}}}\mid}$

Hence option B is the correct answer