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Answers
Step-by-step explanation:
Solutions :-
1)Given length of sides of a triangle are 2 units and 5 units
Option (C)
10 can not be the side of the given triangle
Reason :
2+5=7 < 10
The sum of any two sides is not greater than the third side
2)Given length of sides of a triangle are 5 units and 7 units
Option (B)
7 can be side of the given triangle
Reason :
5+7 =12 > 7
7+7=14 > 5
7+5 = 12 > 7
The sum of any two sides is greater than the third side
3)Given length of sides of a triangle are 7 units and 9 units
Option (B)
8 can be side of the given triangle
Reason :
8+7 =15 > 9
9+7=16 > 8
9+8 = 17 > 7
The sum of any two sides is greater than the third side
4)Given length of sides of a triangle are 8 units and 10 units
Option (C)
11 can be side of the given triangle
Reason :
8+10 =18 > 11
11+10=21 > 8
8+11 = 19 > 10
The sum of any two sides is greater than the third side
5)option (B)
(2,3,4) represents lengths of the sides of the triangle
Reason :
2+3 =5> 4
3+4=7> 2
4+2 = 6 > 3
The sum of any two sides is greater than the third side
6) option (A)
Longer than
Reason :-
The side opposite to the larger angle is longer than the side opposite to the smaller angle
7)Given length of sides of a triangle are 4 units and 10 units
Option (D)
8 can be side of the given triangle
Reason :
4+10 =14 > 8
10+8=18 > 4
8+4 = 12 > 10
The sum of any two sides is greater than the third side
8)Given length of sides of a triangle are 2 units and 6 units
Option (D)
10 can not be the side of the given triangle
Reason :
2+6 = 8 <10
The sum of any two sides is not greater than the third side
9) option (A)
2 meter , 3 meter , 4 meter
(2,3,4) represents lengths of the sides of the triangle
Reason :
2+3 =5> 4
3+4=7> 2
4+2 = 6 > 3
The sum of any two sides is greater than the third side
10)option (B)
Across from the longest side ,the largest angle is located in a triangle.
11)option (C)
angle C
Reason :-
AB = 8 units is the shortest side ,We know that
The angle opposite to the shortest side is smaller
12)option (C)
Reason :-
AB
Reason :-
angle C = 87° is the largest angle , so opposite side to the largest angle is AB is the longer side
13)option (A)
angle B
Reason :-
TS = 12 units is the longer side ,So opposite angle to the longer side is largest angle
14)option (B)
BC
Reason:-
From the triangle the angles are 30°,63° and 87°
Smaller angle = 30°
We know that
The side opposite to the shortest angle is the smaller side
The side opposite to 30° is BC
15) option (A)
Across the shortest side
16)option (A)
Across the smallest angle of a triangle
17) option (A)
18) Option (B)
19) Option (A)
20) Option (B)
Used formulae:-
- The sum of any lengths of the two sides of a triangle is greater than the length of the third side.
- The side opposite to largest angle is longer and the side opposite to shortest angle is smaller in a triangle.