TallieW532615 TallieW532615
  • 03-11-2022
  • Mathematics
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Question-Find the value of a and b.I just need a brief explanation with the answer

QuestionFind the value of a and bI just need a brief explanation with the answer class=

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BreylenC205651 BreylenC205651
  • 03-11-2022

We know that the triangles are similar.

We can use proportions to solve

a 16

----- = -------

10 20

This is found by using the ratios of the similar sides

Using cross products to solve

20*a = 16*10

20a = 160

Divide each side by 20

20a/20 = 160/20

a = 8

We can do the same for side by

b 16

---- = -------

15 20

Using cross products to solve

20b = 16*15

20b =240

Divide each side by 20

20b/20 = 240/20

b = 12

Answer Link

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