Question

Hat is the length of the third side of the window frame below? the first side is 78 and second side is 72

answers are:
A.30 inches
B. 36 inches
C. 50 inches
D. 75 inches

Answer 1

To find the length of the third side of the window frame, we can use the Pythagorean theorem. According to the theorem, 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. The length of the third side of the window frame is approximately 105.83 inches.

Step-by-step explanation:

To find the length of the third side of the window frame, we can use the Pythagorean theorem. According to the theorem, 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.

Let's label the first side as 'a' and the second side as 'b'. Using the Pythagorean theorem, we have:

a^2 + b^2 = c^2

Plugging in the given lengths, we get:

78^2 + 72^2 = c^2

6116 + 5184 = c^2

11200 = c^2

c = sqrt(11200)

c ≈ 105.83 inches

So, the length of the third side of the window frame is approximately 105.83 inches. Therefore, the correct answer is D. 105.83 inches.