If triangle abc is similar to triangle def

Asked by admin @ 29/08/2021 in Math viewed by 316 People

if triangle ABC similar to triangle DEF and their sides of lengths in cm are marked along them, then find the lengths of sides of each traingle

Answered by admin @ 29/08/2021

If ΔABC is similar to ΔDEF and their sides of lengths in cm are marked along them, then the lengths of sides of each triangle are -

We know that triangles ABC and DEF are similar. Therefore each of their sides must be in the same proportion
Therefore, 2x-1 =18y
2x+2=(3x+9)y
3x=6xy = y=1/2
Therefore, 2x-1 = 18 × 1/2 = x=5
Hence, length of -
AB = 2x-1 = 9cm
BC = 2x+2 = 12cm
AC = 3x= 15cm
DE = 18cm
EF = 3x+9 = 24cm
DF = 6x = 30cm

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