Answer: second leg = 24 units hypotenuse = 24√2 units perimeter = 48 + 24√2 units
Explanation: 1- getting the other leg: Since the triangle given is an isosceles triangle, this means that the two legs are equal in lengths. We are given that one of the legs is 24 units, therefore, the other leg is also 24 units
2- getting the hypotenuse: The given triangle is a right-angled triangle. We can use Pythagorean theorem to get the hypotenuse as follows: (hypotenuse)² = (24)² + (24)² (hypotenuse)² = 1152 hypotenuse = 24√2 units
3- getting the perimeter: The perimeter of the triangle is the summation of its three sides. In the given triangle, we have: two legs = 24 units hypotenuse = 24√2 units Therefore: perimeter = 24 + 24 + 24√2 perimeter = 48 + 24√2 units
