Question

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

Answer 1

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

What is the Pythagoras theorem?

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 $c = \sqrt{58}$.

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