The area of a right angled triangle is 24 cm² and one of the side...
To find the lengths of the sides of a right-angled triangle with a known area, we can use the formula:
Area of a triangle = 1/2 * base * height
Since we know the area is 24 cm², we can set up the equation as:
24 = 1/2 * base * height
To find the possible lengths for the base and height, we need to consider the factors of 24. The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.
We can plug in these values to find the possible lengths for the base and height:
When base = 1 and height = 48:
24 = 1/2 * 1 * 48 (not a right-angled triangle)
When base = 2 and height = 24:
24 = 1/2 * 2 * 24 (not a right-angled triangle)
When base = 3 and height = 16:
24 = 1/2 * 3 * 16 (not a right-angled triangle)
When base = 4 and height = 12:
24 = 1/2 * 4 * 12 (not a right-angled triangle)
When base = 6 and height = 8:
24 = 1/2 * 6 * 8 (right-angled triangle)
Therefore, the lengths of the sides of a right-angled triangle with an area of 24 cm² are 6 cm, 8 cm, and 10 cm.