Question

⦁The areas of two similar triangles ABC and DEF are 100 cm2 and 144 cm2. If EF = 15 cmthen find the length of side BC.

Answer 1

we know that

area larger triangle (DEF)=[scale factor]²*area smaller triangle (ABC)

solve for scale factor

scale factor=√[area larger triangle/area smaller triangle]

scale factor=√[144/100]------> scale factor=1.2

therefore

measure EF=scale factor *measure BC

solve for measure BC

measure BC=measure EF/scale factor-------> 15/1.2------> 12.5 cm

the answer is

measure BC is 12.5 cm