Question

Alice wants to put a fence around a portion of her yard in the shape of a right triangle. She knows that the larger leg of the triangle is 2 feet longer than its smaller leg. The hypotenuse is 4 feet longer than the smaller leg. If the smaller leg is represented as "x" in feet, what are the lengths of the other two sides (the larger leg and the hypotenuse) in terms of "x"?

Answer 1

The lengths of the other two sides of the right triangle are x + 2 feet for the larger leg and x + 4 feet for the hypotenuse.

Step-by-step explanation:

Let's represent the smaller leg as x feet. According to the problem, the larger leg is 2 feet longer than the smaller leg, so the larger leg is x + 2 feet. The hypotenuse is 4 feet longer than the smaller leg, so the hypotenuse is x + 4 feet.

Therefore, the lengths of the other two sides are x + 2 feet for the larger leg and x + 4 feet for the hypotenuse, both in terms of x.