Solving the equation 4(x-6) = 28:

To solve the equation 4(x-6) = 28, we can follow these steps:

Step 1: Distribute the 4 to the terms inside the parentheses:
4(x-6) = 28
4x - 24 = 28

Step 2: Add 24 to both sides of the equation to isolate the variable term:
4x - 24 + 24 = 28 + 24
4x = 52

Step 3: Divide both sides of the equation by 4 to solve for x:
4x/4 = 52/4
x = 13

Therefore, the solution to the equation 4(x-6) = 28 is x = 13.

Construction of Right Angled Triangle: Given Length of One Leg and its Hypotenuse

To construct a right-angled triangle when the length of one leg and its hypotenuse are given, we can follow these steps:

Step 1: Draw a straight line segment representing the given length of the leg.

Step 2: At one end of the line segment, draw a perpendicular line segment of any convenient length.

Step 3: Connect the free ends of the leg and the perpendicular line segment to form a right-angled triangle.

Step 4: Measure the length of the hypotenuse using a ruler.

Step 5: Adjust the length of the perpendicular line segment if necessary to match the measured length of the hypotenuse.

Step 6: The construction is complete, and the right-angled triangle with the given length of one leg and its hypotenuse has been successfully constructed.

Remember, in a right-angled triangle, the hypotenuse is always the longest side, and the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse (according to the Pythagorean theorem).