The perimeter of the right-angled triangle is 108 cm, and the area is 486 cm². These values are derived from the given lengths of the sides using the formulas for perimeter and area of a right-angled triangle.
To calculate the perimeter and area of the right-angled triangle with a hypotenuse of length 45 cm and adjacent sides of 36 cm and 27 cm, we'll follow these steps:
Perimeter (P):
The perimeter is the sum of all three sides of the triangle.
P = Side1 + Side2 + Hypotenuse
Substituting the given values:
P = 36 cm + 27 cm + 45 cm = 108 cm
Area (A):
The area of a right-angled triangle is given by the formula:
A = 1/2 * Base * Height
In this case, the base (b) and height (h) can be taken as the two shorter sides of the triangle.
A = 1/2 * 27 cm * 36 cm = 486 cm^2