Final answer:
To find the lengths of the other two sides of the right-angled triangle, we can use the Pythagorean Theorem. Let's call the two sides of the triangle x and y. According to the theorem, x^2 + y^2 = 17^2. We also know that the perimeter of the triangle is 40 cm, so x + y + 17 = 40. Solving these two equations simultaneously will give us the lengths of the other two sides.
Step-by-step explanation:
To find the lengths of the other two sides of the right-angled triangle, we can use the Pythagorean Theorem. Let's call the two sides of the triangle x and y. According to the theorem, x^2 + y^2 = 17^2. We also know that the perimeter of the triangle is 40 cm, so x + y + 17 = 40. Solving these two equations simultaneously will give us the lengths of the other two sides.
From the second equation, we can get x + y = 23. Subtracting this equation from the first equation, we get x^2 + y^2 - (x + y)^2 = 17^2 - 23^2. Simplifying this equation will allow us to solve for x.
Once we have the value of x, we can substitute it back into the equation x + y = 23 to find the value of y. This will give us the lengths of the other two sides of the triangle.