Question

Two lengths of a triangle are shown.
Triangle J K L. Side J K is 5 inches and side J L is 10 inches.
Which could be the length of Side K L?
4 in.
9 in.
16 in.
19 in.

Answer 1

Answer:

9 in.?

Step-by-step explanation:

pythagoras theorem

if jl is the hypotenuse you do the square root of 10² - 5²

Answer 2

The Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side. The length of the side KL is 9 inches. Thus, the correct option is B.

What is triangle inequality theorem?

Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side.

Suppose a, b and c are the three sides of a triangle. Thus according to this theorem,

(a+b) > c

(b+c) > a

(c+a) > b

Let the third side of the triangle be represented by x. Now, as per the triangle inequality theorem,

x + 5 >10

x > 5

x + 10 > 5

x > -5

10+5>x

15>x

Thus, the length of the third side of the triangle must be greater than 5 and should be less than 15.

Hence, the length of the side KL is 9 inches. Thus, the correct option is B.

Learn more about the Triangle inequality theorem:

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