Here Is the answer:
The area of the right angled triangle with hypotenuse 40cm and one of the other two sides 24cm is 384cm².
Steps:
To find the area of a right angled triangle with hypotenuse 40cm and one of the other two sides 24cm, we can use the Pythagorean theorem to calculate the length of the other side.
c² = a² + b²
where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.
So, substituting in the values we have:
40² = 24² + b²
Simplifying:
1600 = 576 + b²
Subtracting 576 from both sides:
1024 = b²
Taking the square root of both sides:
b = √1024
b = 32cm
Now that we know the lengths of both sides, we can use the formula for the area of a triangle:
Area = 1/2 x base x height
where base and height are the lengths of the two sides that form the right angle.
So in this case:
Area = 1/2 x 24cm x 32cm
Area = 384cm²
Therefore, the area of the right angled triangle with hypotenuse 40cm and one of the other two sides 24cm is 384cm².