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Help please with explaination

Help please with explaination-example-1
User Suge
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1 Answer

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8 votes

Answer:

b=18.76

Explanation:

Let the line that splits the big triangle into two small triangles be x.

Let the unmarked side of the big triangle be y.

Consider the big triangle. By Pythagorus:

(6+16)²=b²+y²

484=b²+y²

y²=484-b²

Consider the small left triangle. By Pythagorus:

y²=6²+x²

y²=36+x²

x²=y²-36

Consider the small right triangle. By Pythagorus:

b²=16²+x²

b²=256+x²

b²=256+x²

b²=256+y²-36

b²=220+y²

b²=220+484-b²

2b²=704

b²=352

b=18.7616630393

b=18.76

User Ashirvad
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