1. Which of the following can be the sides of a triangle? Measurement of sides are
in centimetres.
(a) 6, 4, 8
(b) 8, 10, 18
(c) 3, 4, 10
(d) 35, 38, 40
2. A point O is in the interior of AABC. Use the symbols >, < or = to make the following
statements true.
(a) OA + OB AB
(b) OB + OCBC
(c) OA+OCAC
Now, show that AB + BC + AC < 2 (OA+OB + OC).
3. The length of two sides of a triangle are 4 cm and 6 cm. Between what two measures
should the length of the third side fall?
Answers
Given : Sides of triangles
To find : Which can be measurement of sides
Solution:
Sum of any two side of triangles is greater than third side
6 , 4 , 8
6 + 4 = 10 > 8
6 + 8 = 14 > 4
4 + 8 = 12 > 6
Hence 6 , 4 , 8 can be side of triangle
8 , 10 , 18
8 + 10 = 18 = 18 ( not greater than )
Hence 8 , 10 , 18 can not be sides of triangles
3 , 4 , 10
3 + 4 = 7 < 10
Hence 3 , 4 , 10 can not be sides of triangle
35 , 38 , 40
35 + 38 > 40
35 + 40 > 38
38 + 40 > 35
Hence 35 , 38 & 40 can be sides of triangle
Please post question one by one
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ANSWER 1.a/6,4,8
2.c/ OA+0CAC