Question

Which lengths could be the sides of a triangle?
A.

17 cm, 5 cm, 13 cm

B.

5 cm, 17 cm, 12 cm

C.

20 cm, 15 cm, 4 cm

D.

15 cm, 20 cm, 3 cm

Answer 1

a

Answer 2

For a triangle, the sum of length of 2 sides must be greater than the other one
That is, a+b >c
and b+c>a
and a+c>b
so you should check with groups of length satisfies the above conditions. and that is the answer

Answer 3

a- b < c

Answer 4

a+b > c and a- b < c

Answer 5

basic inquation triangles

Answer 6

pytago for triangles 90 ; question for lengths

Answer 7

For (A) the three sides are 17 cm, 5 cm, 13 cm
17 +5 = 22 > 13
5+13 = 18 > 17
13 + 17 = 30 > 5
So the three sides can form a triangle

For(b), the three sides are 5 cm, 17 cm, 12 cm
5+17 = 22 >12
17 +12 = 29 >5
5+12 = 17 = 17
So, they cannot form a triangle

For (c), the three sides are 20 cm, 15 cm, 4 cm
20 +15 = 35 >4
15 + 4 = 19 <20
So, they cannot form a triangle

For (d) , the three sides are 15 cm, 20 cm, 3 cm
15 +20 = 35 >3
20 +3 = 23 >15
15 +3 = 18 < 20
So, they cannot form a triangle

I hope you can understand how to get the answer...