Respuesta :
Answer:
It's an acute angled triangle.
Step-by-step explanation:
15^2 = 225
12^2 = 144
10^2 = 100
Adding:
10^2 + 12^2 = 244.
So as 15^2 < 12^2 + 10^2 this is an acute angled triangle.
The triangle with given sides of 10 inch , 12 inch and 15 inch is an acute angled triangle.
The length of three sides of a triangle are given
Length of first side = 10 inch
Length of second side = 12 inch
Length of third side = 15 inch
here we can observe that the third side is the longest side for the given triangle
Let us check whether the given triangle satisfies the Pythagorean theorem
For a right angled Pythagorean theorem is given by equation (1)
[tex]\rm H^2 = P^2 + B^2 .........(1)\\where \\H = Hypotenuse\\P = Perpendicular\\B = Base\\[/tex]
From the given data we can conclude that
[tex]\rm 15 ^2 = 225 \\10^2 = 100\\12^2 = 144 \\15^2 \neq 10^2 +12^2 \\\\Since\; 225\neq 244[/tex]
The given triangle does not satisfies the Pythagorean theorem and hence it is not a right angled triangle
also [tex]225< 244[/tex]
So we can conclude that it is an acute angled triangle.
For more information please refer to the link given below
https://brainly.com/question/21291710
