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Triangle ABC ​ is similar to triangle DEF . The length of BC⎯⎯⎯⎯⎯ is 21 cm. The length of DE⎯⎯⎯⎯⎯ is 10 cm. The length of EF⎯⎯⎯⎯⎯ is 14 cm.




What is the length of AB⎯⎯⎯⎯⎯?




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15 cm

Verified Answer :

rarrininger

Yes, set up your proportion: x/21 = 10/14
Cross multiply 14x = 210
Divide both sides by 14 and x= 15 cm

The side length AB of the triangle  ABC will be 15 cm.

What is the triangle?

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

If the two triangles are similar, the ratio of the corresponding sides will be constant.

Triangle ABC ​ is similar to triangle DEF.

The length of BC is 21 cm.

The length of DE is 10 cm.

The length of EF is 14 cm.

The side length AB of the triangle  ABC will be

The ratio of the corresponding sides of the triangle will be

AB / DE = BC / EF = CA / FD

Taking first two terms, then the equation will be

AB / 10 = 21 / 14

AB / 10 = 3 / 2

AB = (3/2) x 10

AB = 15 cm

The side length AB of the triangle  ABC will be 15 cm.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ5

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