Question

In triangle ABC, AB=25, BC=7, AC=24. determine the type of triangle ABC

Answer 1

it's a scalen triangle
scalen triangle:if the sides of triangle are unequal then it is said to be scalen triangle

Answer 2

It is a right angled triangle.
REASON⬇

Pythagoras theorem is only applicable in right angled triangles.
In the given triangle, (AB)^2 = (BC)^2 + (AC)^2.
LHS = (AB)^2 = (25)^2 = 625
RHS = (BC)^2 + (AC)^2 = 7^2 + 24^2 = 49+576 =625 = LHS.
SO, the given triangle is a right angled triangle.
Also, it is a scalene triangle as all the three sides are of different length.