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Romashka [77]
2 years ago
14

The short leg of a 90-45-45 triangle is 3 and the long leg is 7. What is the hypotenuse?

Mathematics
1 answer:
kramer2 years ago
5 0

The short leg of a 90-45-45 triangle is 3 and the long leg is 7. The hypotenuse would be c = \sqrt{58}.

<h3>What is the Pythagoras theorem?</h3>

The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.

The short leg of a 90-45-45 triangle is 3 and the long leg is 7.

Since this is a right triangle, we can use the Pythagoras theorem

a^2+b^2 = c^2  

where a and b are the legs and c is the hypotenuse

3^2 + 7^2 = c^2\\\\9 + 49 = c^2\\\\58 = c^2\\\\c = \sqrt{58}

Hence, The hypotenuse would be c = \sqrt{58}.

Learn more about Pythagoras theorem;

brainly.com/question/343682

#SPJ1

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