Solve the problem.
-Use the Pythagorean Theorem to find the length of the unknown side of the triangle. Write the answer as a radical in simplified form.
C) 25

Question

Solve the problem.
-Use the Pythagorean Theorem to find the length of the unknown side of the triangle. Write the answer as a radical in simplified form. 
C) 25

Quizplus · Accepted Answer

Using the Pythagorean Theorem, we have:
a^2 + b^2 = c^2
Substituting the given values, we get:
a^2 + 6^2 = 13^2
a^2 + 36 = 169
a^2 = 133
a = sqrt(133)
Therefore, the answer is in the form of a radical in simplified form, which is given in choice D. The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. In this triangle, the hypotenuse has a length of 11 and one of the legs has a length of 5. To find the length of the other leg, we can use the Pythagorean Theorem:
c^2 = a^2 + b^2
11^2 = 5^2 + b^2
121 = 25 + b^2
96 = b^2
b= sqrt(96) = 4sqrt(6)
Therefore, the length of the unknown side is 4sqrt(6), which is answer choice D.

Solve the Problem. -Use the Pythagorean Theorem to Find the Length of the Length