Question

Two sides of the perimeter center f one triangle are respectively three times the corresponding sides and the perimeter of the other triangle.Are the two triangles are similar?Why?

Answer 1

Answer:

Step-by-step explanation:

Yes. The triangles are similar

Step-by-step explanation:

Let the first ▲ be ▲ABC & the second ▲DEF

let ABC's sides be a,b,c and DEF's 3a,3b,f

Since 3(a+b+c)=3a+3b+f

=>3a+3b+3c=3a+3b+f

=>3c=f

=> the corresponding sides increase by a factor of 3 in ▲DEF from ▲ABC

=> ▲DEF ||| ▲ABC (SSS