Mathematics: Triangles ABC and DEF are similar. Find the perimeter of triangle DEF. a. 34.7 cm b. 25.3 cm c. 15 cm d. 38 cm Please show work to help me understand.

Triangles ABC and DEF are similar. Find the perimeter

swelch2010

30.07.2021

If Both triangles are similar the ratio of sides will be same

$\\ \sf\longmapsto \dfrac{AB}{AC}=\dfrac{DE}{DF}$

$\\ \sf\longmapsto \dfrac{8}{10}=\dfrac{12}{DF}$

$\\ \sf\longmapsto 8DF=120$

$\\ \sf\longmapsto DF=\dfrac{120}{8}$

$\\ \sf\longmapsto DF=15cm$

Now

$\\ \sf\longmapsto Perimeter=DF+DE+EF$

$\\ \sf\longmapsto Perimeter=15+11+12$

$\\ \sf\longmapsto Perimeter=38cm$

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damienlopezram

14.02.2020

basically get a shape

eg we will work with triangles,, add angles to the inside,, ensuring they add up to 180 (because angles in a triangle add up to 180)

now that we have the angles,, extend each side with a line to show the exterior angles.

we know that angles on a line add up to 180,, so to find the external angle,, we can use our internal angle

you would use:

[ 180- internal angle]

do this for all external angles

add all your answers together,, should equal to 180

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