Question

You locate an odd but interesting store. The floor area is a triangle with sides of 24 ft, 10 ft, and 26 ft. Does the floor form a right triangle?

a) Yes
b) No

Answer 1

The floor formed by the sides of 24 ft, 10 ft, and 26 ft does form a right triangle. Therefore, the correct answer is yes.

Step-by-step explanation:

The question asks whether the floor of a store, which has sides measuring 24 ft, 10 ft, and 26 ft, forms a right triangle. To determine this, we can use the Pythagorean Theorem, which states that in a right triangle, the sum of the squares of the two shorter sides is equal to the square of the longest side (hypotenuse).

Using the Pythagorean Theorem, we can calculate:

a^2 + b^2 = c^2

(24^2) + (10^2) = (26^2)

576 + 100 = 676

676 = 676

Since the equation is true, the sides of 24 ft, 10 ft, and 26 ft do form a right triangle. Therefore, the answer is a) Yes.