Question

If areas of two similar triangles ABC and triangle def are 144cm² and 81 cm² respectively. If the longest side of larger triangle ABC is 36 CM then find the longest side of triangles def

Answer 1

Let the longest side of ∆ DEF be y cm
ar(∆ DEF)/ar(∆ABC)= y²/ (36)²
y²=81×(36)²/144
y=+-(9×36)/12
y=27cm [rejecting negetive value of length]