The legs of a right triangle are 10 centimeters and 24 centimeters long. What is the length of the hypotenuse?

1 answer:

8 0

A² + b² = c²

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

So, plug in 10 for one of the legs and 24 for the other leg

c will be left blank because that is what you are trying to find, the hypotenuse

10² + 24² = c²

100 + 576 = c²

676 = c²

Take the square root of both sides of the equation to isolate c

√676 = √c²

Square of c and the square root cross out on the right

Take the square root of 676

c = 26

So, the length of the hypotenuse is 26 centimeters

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Answer:

$\displaystyle x = 2 \sqrt{3}$

Step-by-step explanation:

we would like to solve the following equation:

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in order to do so do cross multiplication:

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