Triangle Inequalities.
2 rules
FIRST:
Longest side is opposite the largest angle. Smallest angle is opposite the shortest side.
SECOND:
The sum of any 2 sides > the length of the remaining 3rd side.
If the sides are 10, 16 and 22 then….
need 3 yeses to be a yes. Yes it will form a triangle.
BUT…. sides of 3, 5, 8
One NO and the answer is NO!
Find all possible measures of a third side given 2 sides of a triangle.
The easy way to think about this type of problem - Subtract < 3rd side < Add.
Now you try…
Answer here
1.
2.
3.
4.
5.
6.
Answer with yes or no. If no give type why. Follow the examples.
7. Yes
10.
13.
<6
8. No 6+10 < 17 not > 17
no
1+9>9 11.
Yes
14.
yes
No 81/2+91/4<18
9.Yes
12.Yes
15.no2.5+3.5>6 not
16.
B
17.
O
18.S
19.
SD
20.
SNJ
21.PRO
22. 3 < 3rd < 11
23.
(Subtract 7-4 then add 4+7)
25.
5<6th<20
4<5th<17
26.
6<2nd<8
24.2<3rd<5
27.12<12th<37