Answer:
x=6.93
Explanation:
This is a right triangle, therefore we can use the Pythagorean Theorem.
a^2+b^2=c^2
where a and b are the legs and c is the hypotenuse.
In this triangle, x and 11 are the legs, because the form the right angle. 13 is the hypotenuse because it is opposite the right angle.
a=x
b=11
c=13
x^2+11^2=13^2
Evaluate the exponents.
11^2=11*11=121
13^2=13*13=169
x^2+121=169
Now we must solve for x by getting x by itself. First, subtract 121 from both sides.
x^2+121-121=169-121
x^2=169-121
x^2=48
x is being squared, so we should take the square root of both sides.
√x^2=√48
x=√48
x=6.92820323
Round to the nearest hundredth. The 8 in the thousandth place indicates we should round the 2 in the hundredth place to a 3.
x=6.93