each leg of a 45°- 45°- 90° triangle measures 14 cm. What is the length of the hypotenuse?
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Answer: 19.79 cm
Step-by-step explanation:
1. To solve the exercise you must apply the Pythagorean Theorem as you can see below:
[tex]a=\sqrt{b^{2}+c^{2}}[/tex]
Where a is the hypotenuse and b and c are the legs.
2. Then, you must substitute values:
[tex]a=h\\b=14cm\\c=14cm[/tex]
[tex]h=\sqrt{(14cm)^{2}+(14cm^{2}})\\h=19.79cm[/tex]
3. The length of the hypotenuse is 19.79 centimeters.
Answer:
14 StartRoot 2 EndRoot cm
Step-by-step explanation: