16.5k views
3 votes
A piece of wire 40cm is bent to form a right angled triangle whose hypotenuse is 17 cm long.Find the lengths of the other two sides of the triangle​

User Tywana
by
8.5k points

1 Answer

5 votes

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.

User Hobo Joe
by
7.5k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.