How to find the perimeter of a right-angle triangle with one side missing?
Perimeter is defined as the length of the total boundary of a shape.
Answer: We can find the missing side and the perimeter of a right-angled triangle using the Pythagoras theorem.
Let us understand this with an example.
In a right-angled triangle, if the hypotenuse = 5 units and base side = 4 units.
If 'a' and 'b' are the sides of a right-angled triangle and 'c' is the hypotenuse, then using the Pythagoras theorem,
c2 = a2 + b2
52 = 42 + b2
25 = 16 + b2
9 = b2
b = 3
The other side is 3 units.
Now, perimeter of triangle = a+b+c
P = 3 + 4 + 5
P = 12
Perimeter = 12 units
Therefore, we can find the missing side and the perimeter of a right-angled triangle using the Pythagoras theorem. In this example, the missing side is 3 units and the perimeter is 12 units.