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Find the segment length indicated. Assume that lines which appear to be tangent are tangent.

Find the segment length indicated. Assume that lines which appear to be tangent are-example-1
User Minh
by
7.9k points

1 Answer

2 votes

Answer:

Part 1) The segment length indicated is
6.4\ units

Part 2) The segment length indicated is
19\ units

Explanation:

Let

x------> the segment length indicated

Part 1)

Applying the Pythagoras Theorem


(13+x)^(2)=13^(2)+14.4^(2)\\ \\ (169+26x+x^(2))=169+207.36\\ \\x^(2)+26x-207.36=0

Solve the quadratic equation by graphing

The solution is
x=6.4\ units

see the attached figure N 1

Part 2)

Applying the Pythagoras Theorem


x^(2) =11.4^(2)+(7.6+7.6)^(2)\\ \\ x^(2)=129.96+231.04\\ \\x^(2)=361\\ \\x=19\ units

Find the segment length indicated. Assume that lines which appear to be tangent are-example-1
User Skizzo
by
8.5k points

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