Respuesta :
It has a side that is far smaller than the others which make it an acute triangle, also the angle is not a 90-degree angle
Answer:
Triangle with side 2 in , 4 in and 5 in is an Obtuse angled triangle. It is not an Acute angles triangle.
Step-by-step explanation:
Given:
Length of the sides of the triangle = 2 in , 5 in and 4 in
We know that if a , b and c is sides of the triangle such that c is the longest side then
1). if c² > a² + b² then the triangle is Acute angled.
2). if c² = a² + b² then the triangle is Right angled.
3). if c² < a² + b² then the triangle is Obtuse angled.
Here, a = 2 in , b = 4 in and c = 5 in
So, c² = 5² = 25
a² + b² = 2² + 4² = 4 + 16 = 20
Clearly c² > a² + b²
Therefore, Triangle with side 2 in , 4 in and 5 in is an Obtuse angled triangle. It is not an Acute angles triangle.
