Respuesta :

Answer:

C

Step-by-step explanation:

Given that the 2 triangles are similar then the ratios of corresponding sides are equal.

This enables RT to be found, that is

[tex]\frac{4}6}[/tex] = [tex]\frac{10}{RT}[/tex] ( cross- multiply )

4RT = 60 ( divide both sides by 4 )

RT = 15

Hence

perimeter of ΔRST = 6 + 12 + 15 = 33 units

akposevictor

The perimeter of triangle RST which is similar to triangle MNO is: C. 33 units.

What is the Perimeter of a Triangle?

The perimeter of a triangle = sum of all its 3 sides.

Since triangles MNO and RST are similar triangles, then their corresponding side lengths are proportional to each other.

This means that:

MN/RS = MO/RT = NO/ST

Find RT using MN/RS = MO/RT:

4/6 = 10/RT

RT = (10×6)/4

RT = 15 units.

Perimeter of triangle RST = RS + ST + RT = 6 + 12 + 15 = 33 units.

Learn more about the perimeter of a triangle on:

https://brainly.com/question/24382052

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