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11 votes
11 votes
Look at the triangles shown below.

What is the value of b?
A)6
B)27T3
C)зVT3
D) 3V14

Look at the triangles shown below. What is the value of b? A)6 B)27T3 C)зVT3 D) 3V-example-1
User Taras Mankovski
by
2.9k points

1 Answer

29 votes
29 votes

Answer:


b=3√(13)

Explanation:

Segment Addition Postulate:


\bar{PY}=\bar{MP}+\bar{MY}

Substitute MP = 4, MY = 9 into PY = MP + MY:


\bar{PY}=4+9

Calculate PY = 4 + 9:


\bar{PY}=13

Representing same angles:


<u>cos A = leg adjacent to <A/hypotenuse:</u></p><p><u></u>[tex]cos(<u>Substitute DY = b, PY = 13 into cos (<DYP)=DY/PY:</u></p><p><u></u>[tex]cos(<u>Substitute <DYP=<DYM into cos(<DYP)=b/13:</u></p><p><u></u>[tex]cos(<u>cos A=leg adjacent to <A/hypotenuse:</u></p><p><u></u>[tex]cos\left(<u>Substitute DY=b, MY=9, cos(<DYM)=b/13 into cos (<DYM)=MY/DY:</u></p><p><u></u>[tex](b)/(13)=(9)/(b)

Calculate b/13=9/b:


b=3√(13)

I hope this helps you :)

User TheRealJimShady
by
3.1k points