Question

triangle ABC is similar to triangle XYZ, the sides of ABC are in the ratio of 7:24:25, then what type of triangle is XYZ

Answer 1

Let the sides be 7x,24x,25x
Let ABC be a triangle and AB=c=7x,BC=a=24x,CA=b=25x
cosB=(a²+c²-b²)/2bc=(576x²+49x²-625x²)/2*24x*7x=0
cosB=0
B=90⁰
Hence ΔABC is a right angle triangle