Question

two sides and the perimeter of one triangle are respectively 3 times the corresponding sides and perimeter of the other triangle. are the two triangles are similar​

Answer 1

Answer:

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)

Answer 2

Answer:

Yes, the two triangles are similar.

Step-by-step explanation:

The two triangles are similar when all three sides of one triangle are proportional to the sides of the other triangle. Two sides and perimeters of one triangle are three times the two sides and perimeter of the other triangle. The third side is also three times the third side of the other triangle because the perimeter (a+b+c) is proportional. Hence, the two triangles are similar.

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