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
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