Mid-Chapter Quiz
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Recall the Pythagorean Theorem.
AC≈180.3 ft
Let's begin with recalling the Pythagorean Theorem. In a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.
Since â–³ ADC is a right triangle, we can use the Pythagorean Theorem to evaluate the length of AC. AC^2=AD^2+DC^2 Let's substitute the given side lengths and solve for AC. Notice that, since AC represents a length, we will consider only the positive case when taking a square root of AC^2.
AD= 100, DC= 150
Calculate power
Add terms
sqrt(LHS)=sqrt(RHS)
sqrt(a^2)=a
Calculate root
Round to 1 decimal place(s)
The length of path AC is approximately 180.3 feet.