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