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PLS HELP 15 POINTS!

Find part “b”.

PLS HELP 15 POINTS! Find part “b”.-example-1

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Answer:

b=45/4

Explanation:

This is a special triangle 30-60-90.

In big triangle hypotenuse 15, short leg x=(hypotenuse/2), x=15/2.

In smallest triangle :

1. This is also special triangle 30-60-90

2. x=15/2 hypotenuse

3. "a" is a shortest leg in the smallest triangle,

so a=(15/2)/2=15/4

a+b=15

15/4 +b=15

b=15 -15/4=15*4/4 -15/4 = 45/4

b=45/4

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