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2 years ago

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

Mathematics

2 answers:

Alex_Xolod [135]2 years ago

8 0

Answer:

The length of the dotted line is √93.

Step-by-step 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

Pachacha [2.7K]2 years ago

6 0

Answer:

$\sqrt{93}$

Step-by-step explanation:

8^2+5^2=c^2

64+25=c^2

89=c^2

c= $\sqrt{89}$ <-- this is the length of the rectangle at the bottom

2^2+( $\sqrt{89}$ )^2=c^2

4+89=c^2

c= $\sqrt{93}$ <-- length of dotted line (diagonal)

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