Answer:
Set B i.e., 5 , 7 , 8 represent the side of acute angled triangle.
Step-by-step explanation:
Given: Set of numbers.
To find: Set that represent sides of an acute angled traingle.
We use the following result:
When given 3 triangle sides then to determine if the triangle is acute angled , right angled or obtuse angled.
First find Square all 3 sides, then Sum the squares of the 2 shortest sides and then Compare the sum to the square of the last side.
if sum > Square of last side ⇒ it is Acute Triangle
if sum = Square of last side ⇒ it is Right Triangle
if sum < Square of last side ⇒ it is Obtuse Triangle
a). 4 , 5 , 7
4² = 16 , 5² = 25 , 7² = 49
16 + 25 = 41
∵ 41 < 49
⇒ It is an Obtuse Traingle.
b). 5 , 7 , 8
5² = 25 , 7² = 49 , 8² = 64
25 + 49 = 74
∵ 74 > 64
⇒ It is an acute Triangle.
c). 6 , 7 , 10
6² = 36 , 7² = 49 , 10² = 100
36 + 49 = 85
∵ 85 < 100
⇒ It is an Obtuse Triangle.
d). 7 , 9 , 12
7² = 49 , 9² = 81 , 12² = 144
49 + 81 = 130
∵ 130 < 144
⇒ It is an Obtuse Triangle.
Therefore, Set B i.e., 5 , 7 , 8 represent the side of acute angled triangle.
