Question

If the two sides of a triangle are 17 ft and 13 ft, what is the inequality expression for the third side?
The three sides of a triangle are 21, x, and 2x. What is the inequality expression for the value of x?

Answer 1

Answer:

let the third side be x

then, x<30 ft

x+2x>21

3x>21

x>7

Answer 2

Answer:

Step-by-step explanation:

(1) If the two sides of a triangle are 17 ft and 13 ft, what is the inequality expression for the third side?

Ans: Let third Side be x fts

As we know sum of three sides must be grater than third side

So 17+13>x

x<30-----------(1)

13+x>17

x>4

4<x----(2)

From (1) and (2) Inequility expression for third side is 4<x<30

(2) The three sides of a triangle are 21, x, and 2x. What is the inequality expression for the value of x?

Ans: As we know sum of three sides must be grater than third side

x+2x>21

3x>21

x>7

7<x-----------(1)

21+x>2x

21>x

x<21--------(2)

21+2x>x this is always true

So from (1) and (2) Inequility expression for x is 7<x<21