math help !!7

Question

A piece of wire 120 cm long is bent to form right triangle with hypotenuse of 51cm. What is the length each leg of the triangle. Write your own system of equation and show how to solve this problem algebraically using your equation.

Answer 1

Step 1:

Right angle triangle with hypotenuse of 51cm.

Let  , are the remaining two legs of right angled triangle.

Using Pythagoras theorem,

----->.equation(1)

Step 2:

Length of wire is 120 cm.

Step 3:

Substitute value in equation(1).

Divide each side by 2.

Step 4:

Solve the equation by using factorization.

Apply zero product property.

and

and .

Step 5:

Substitute value in .

Substitute value in .

Solution:

The two legs of right angled triangle are 24 cm and 45 cm.