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Answers
Step-by-step explanation:
Solutions :-
1) Option (C): 9
Reason :-
Given two lengths of the sides of the triaingle are 9 and 15
Third side would be 9
9+15 = 24 > 9
15+9 = 24 > 9
9+9 = 18 > 9
The sum of the lengths of any two sides is greater than the length of the third side.
2)Option (B) : Shorter than
Any side of a triangle must be shorter than or less than the sum of the two sides of the triangle
3)Option (D) :
Given three sides are 6,9,11
6+9 = 15 > 11
9+11 = 20 > 6
11+6 = 17 > 9
The sum of any two sides is greater than the third side of the triaingle.
4)Except option (B) remaining are could be the lengths of the triangle.
A) 5,6,9
5+6 = 11 > 9
6+9 = 15 > 5
9+5 = 14 > 6
C)9,10,16
9+10 = 19 > 16
10+16 = 26 > 9
16+9 = 25 > 10
D)8,9,16
8+9 = 17 > 16
9+16 = 25 > 8
16+8 = 24 > 9
The sum of two sides is not greater than the third side
5)Option (B)
Given sides are 8,8,17
8+8 = 16 < 17
The sum of two sides is not greater than the third side.
6)Option (A)
Given sides are 3,3,5
3+3 = 6 > 5
3+5 = 8> 3
5+3 = 8 > 3
The sum of any two sides is greater than the third side
7)Option (B)
Given that
In∆ABC ,AB = 5 ft, BC = 9 ft
Sum of two sides = AB+BC = 5+9 = 14 ft
Difference of two sides = BC-AB = 9-5 = 4 ft
AC must be lies between 4 ft and 14 ft
Therefore, 4 < AC < 14
8)Option (C)
The side opposite to largest angle is longer than the side opposite to shortest angle.
9)Options (B)&(C)
m,n are parallel lines and l is the transversal then
angle 2 and angle 8
angle 3 and angle 7
angle 1 and angle 6
angle 5 and angle 4 are corresponding sides
Corresponding sides:-
If two parallel lines Intersecting by a transversal then ,
The pair of angles which are not adjacent and one angle is exterior and one angle is interior on the same side to the transversal is called Corresponding angles