Given that
a= 6 m, work out x
give your answer as an exact surd in its simplest form.

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Step-by-step explanation:

In a right triangle, the "hypotenuse" is the side opposite of the 90 degree angle. That side is "a"

Using pythagorean theorem, we can write:

Leg^2 + Leg^2 = Hypotenuse^2

Note: legs are the other 2 sides, x and x respectively

Now we can write:

a is 6 meters, so replacing a with 6 and solving we get:

To simplify the surd, we can use the property shown below:

Also

Now simplifying:

77

step-by-step explanation: