ΔABC ∼ ΔDEF and the perimeters of these triangles are 32 cm and 12 cm respectively. If DE = 6 cm, then what will be the length of AB ?
Answer & explanation
Correct answer: option 1
We know that,
The ratio of the sides of a triangle = The ratio of the perimeter of that triangle
So, according to the question,
\(\frac{AB}{DE}\) = \(\frac{32}{12}\)
\(\frac{AB}{6}\) = \(\frac{32}{12}\)
AB = 16 cm