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timofeeve [1]
3 years ago
10

Solve for y please I have no clue I am so lost thank you

Mathematics
1 answer:
Inga [223]3 years ago
3 0

In the Triangle ABD, Using Pythagoras theorem we can write

AB^2=BD^2+AD^2\\ \\ AB^2=9^2+y^2\\ \\ AB^2=81+y^2\\ \\

In the Triangle ACD using Pythagoras Theorem

AC^2=AD^2+CD^2\\ \\ AC^2=y^2+7^2\\ \\ AC^2=y^2+49\\

Now in the larger Triangle ABC, we can write

AB^2+AC^2=BC^2

Now substitute the values from the above equations we get

81+y^2+49+y^2=(9+7)^2\\ \\ 130+2y^2=16^2\\ \\ 130+2y^2=256\\ \\ 65+y^2=128\\ \\ y^2=128-65=63\\ \\ y=\sqrt{63} =3\sqrt{7} \\

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