Answered

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Similar Shapes


Triangle ABC is similar to triangle ADE

AC = 15cm

CE = 6cm

BC = 12.5cm

Work out the length of DE

Similar ShapesTriangle ABC Is Similar To Triangle ADE AC 15cmCE 6cmBC 125cmWork Out The Length Of DE class=

Sagot :

Answer:

DE = 17.5 cm

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are in proportion , that is

[tex]\frac{DE}{BC}[/tex] = [tex]\frac{AE}{AC}[/tex] ( substitute values )

[tex]\frac{DE}{12.5}[/tex] = [tex]\frac{15+6}{15}[/tex] = [tex]\frac{21}{15}[/tex] ( cross- multiply )

15 DE = 262.5 ( divide both sides by 15 )

DE = 17.5 cm

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