Question

Find the lengths of the remaining sides of the triangle.

Given: (a = 16√2), (b = 45^∘), (c = 45^∘)
A. (b = c = 45^∘)
B. (b = 16√2), (c = 45^∘)
C. (b = 45^∘), (c = 16√2)
D. (b = c = 16√2)

Answer 1

The lengths of the remaining sides of the triangle are b = c = 16√2.

Step-by-step explanation:

To find the lengths of the remaining sides of the triangle, we can use the Pythagorean theorem. The theorem states that in a right triangle, the sum of the squares of the lengths of the two legs is equal to the square of the length of the hypotenuse.

In this case, we are given that one leg (a) has a length of 16√2. We need to find the lengths of the remaining sides (b and c).

Since the triangle is right-angled and we know the length of one leg, we can use the Pythagorean theorem to solve for the other two sides:

b = c = 16√2