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What is the length of the dotted line in the diagram below? Leave your answer in simplest radical form.

What is the length of the dotted line in the diagram below? Leave your answer in simplest-example-1
User Hrust
by
3.4k points

2 Answers

6 votes

Answer:

The length of the dotted line is √93.

Explanation:

Use Pythagorean Theorem to solve the hypotenuse of the top triangle.

8² + 5² = √89

√89 is now known as the measurement of the bottom line as well. We can visualize the dotted line as the hypotenuse of a triangle and solve for it using Pythagorean Theorem again.

√89² + 2² = √93

User Matin Petrulak
by
3.6k points
9 votes

Answer:


√(93)

Explanation:

8^2+5^2=c^2

64+25=c^2

89=c^2

c=
√(89) <-- this is the length of the rectangle at the bottom

2^2+(
√(89))^2=c^2

4+89=c^2

c=
√(93) <-- length of dotted line (diagonal)

User Ohlin
by
3.4k points