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Each leg of a 45°- 45°- 90° triangle measures 14 cm. What is the length of the hypotenuse?

Each leg of a 45°- 45°- 90° triangle measures 14 cm. What is the length of the hypotenuse-example-1

2 Answers

1 vote

Answer:

14 StartRoot 2 EndRoot cm

Explanation:

User RazrFalcon
by
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3 votes

Answer: 19.79 cm


Explanation:

1. To solve the exercise you must apply the Pythagorean Theorem as you can see below:


a=\sqrt{b^(2)+c^(2)}

Where a is the hypotenuse and b and c are the legs.

2. Then, you must substitute values:


a=h\\b=14cm\\c=14cm


h=\sqrt{(14cm)^(2)+(14cm^(2)})\\h=19.79cm

3. The length of the hypotenuse is 19.79 centimeters.


User Farbodg
by
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