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The legs of a right triangle are lengths 48cm and 55cm. What is the length of the hypotenuse?

Sagot :

The legs of a right triangle are lengths 48cm and 55cm. So, the length of the hypotenuse is 73 cm.

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 legs of a right triangle are lengths 48cm and 55cm.

Let ABC be the right angle triangle and AB is the hypotenuse.

To find the length of the hypotenuse we will use the Pythagoras theorem,

[tex]AB^2 = BC^2 + AC^2\\\\AB^2 = 48^2 + 55^2\\\\AB^2 = 2304 +3025\\\\AB^2 = 5329\\\\AB = \sqrt{5329} \\\\AB = 73[/tex]

Learn more about Pythagoras theorem;

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