Find length x in each triangle. Express your answer in simplified radical form.
leg 1 = 8
leg 2 = x
hypotenuse = 12
MY answer: so x = �ã80
I got √80 or appr. 8.94
yes the symbol is a radical.
also since the directions say to leave as a radical form then i just leave it as radical 80 i don't have to simplify it to a decimal correct or wrong
Here is a neat way to show a radical sign
hold down the ALT key with your left hand, while at the same time pressing 251 with your right hand, then release the left hand,
Voila!!!
√
so, what do you think is my answer wrong.
Your answer is almost correct, but there is a mistake in your calculation. Let's go through the process of finding the length x.
In a right triangle, the Pythagorean theorem states that the sum of the squares of the two legs is equal to the square of the hypotenuse. So in this case, we have:
leg 1^2 + leg 2^2 = hypotenuse^2
Substituting the given values:
8^2 + x^2 = 12^2
Simplifying the equation:
64 + x^2 = 144
To isolate x^2, subtract 64 from both sides:
x^2 = 144 - 64
x^2 = 80
Now, to find the value of x, take the square root of both sides:
√(x^2) = √80
x = √80 or approximately 8.94
So your answer, expressed in simplified radical form, is x = √80. You don't need to convert it to a decimal if the instructions ask for the answer in radical form.