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zalisa [80]
3 years ago
10

Right triangle ABC is similar to right triangle DEF. If the side lengths for triangle ABC are 15, 20, 25, respectively, which va

lues could represent the side lengths of triangle DEF
Mathematics
1 answer:
solniwko [45]3 years ago
6 0

Answer:

A = 15   B = 20   C = 25

D = 30   E = 40   F = 50

D = 3    E = 4     F = 5

Step-by-step explanation:

Given

Similar Triangles: ABC and DEF

A = 15

B = 20

C = 25

Required

Determine the sides of DEF

No options were given, so I will solve on a general terms.

Since both triangles are similar, then the following relationship exists.

DEF = ABC * n

i.e.

D = A * n    E = B * n     F = C * n

Where

n = Scale\ Factor

Assume n = 2.

So, we have:

D = A * n    

D =15 *2

D = 30

E = B * n    

E = 20 * 2

E = 40

F = C * n

F = 25 * 2

F = 50

Assume n = \frac{1}{5}.

So, we have:

D = A * n    

D =15 *\frac{1}{5}

D = 3

E = B * n    

E = 20 * \frac{1}{5}

E = 4

F = C * n

F = 25 * \frac{1}{5}

F = 5

So, the possible sides are:

A = 15   B = 20   C = 25

D = 30   E = 40   F = 50

D = 3    E = 4     F = 5

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