Question

Kas cut a piece of

fabric in the shape of
a right triangle. The length
of the longest side is
8 inches and one of the
other two sides is 4
inches, what is the length
of the other side?

Answer 1

ermmm...yeah

Explanation:

Let's label the sides of the right triangle. The longest side is the hypotenuse (c) and the other two sides are the adjacent side (a) and the opposite side (b). We know that c = 8 inches and one of the other sides, say a, is 4 inches. We need to find the length of the remaining side, which is b.

We can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides:

c² = a² + b²

Substituting the given values, we get:

8² = 4² + b²

Simplifying, we get:

64 = 16 + b²

48 = b²

Taking the square root of both sides, we get:

b = √48

We can simplify this by factoring 48 as 16 × 3:

b = √16 × √3

b = 4√3

Therefore, the length of the remaining side is 4√3 inches.