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Check whether it is possible to have a triangle with the given sides.​

Check Whether It Is Possible To Have A Triangle With The Given Sides class=

Sagot :

Wynner10010idn

Answer:

The Triangle Inequality Theorem

Note: The Sum of the two lengths must be greater than the third length, therefore a Triangle can be constructed.

a+b>c

a+b>ca+c>b

a+b>ca+c>b b+c>a

Let A be the first length

B the second length and;

C the third length

Given

1. 5, 7, 13 | We Can't Make a Triangle with this given numbers, so FALSE

Solve:

5+7 < 13

12 < 13 ❎

5+13 > 7

18 > 7 ✔️

7+13 > 5

20 > 5 ✔️

2. 5, 9, 12 | TRUE

5+9 > 12

14 > 12 ✔️

5 + 13 > 9

18 > 9 ✔️

9 + 12 > 5

21 > 5 ✔️

3. 10, 15, 25 | FALSE

10 + 15 = 25

25 = 25 ❎

10 + 25 > 15

35 > 15 ✔️

15 + 25 > 10

40 > 10 ✔️

4. 1, 2, 3 | FALSE

1 + 2 = 3

3=3 ❎

1 + 3 > 2

4 > 2 ✔️

3 + 2 > 1

5 > 1 ✔️

5. 6, 10, 5 | TRUE

6+10>5

16>5 ✔️

6+5>10

11>10 ✔️

10+5>6

15>6 ✔️

Step-by-step explanation:

Just Follow the Formula and you'll get the answer too.