Jenifers flower bed is in the shape of a right angle triangle. The shortest side is one/forth of the second shortest side. if the area is 18sqaured what are the lengths of all three sides?
I NEED A ANSWER ASAP! PLEASE
How many times are you going to ask this without checking the answers already given?
the sides are x and 4x
1/2 (x)(4x) = 18
so, x=3
so, the sides are 3,12,√153
but it needs the 3 sides..
So, I gave them to you. which of the three numbers doesn't satisfy you?
To solve this problem, we'll use the formula for the area of a right triangle: A = (1/2) * base * height.
Let's assume the lengths of the three sides of the triangle are x, 4x, and 5x (where x is a positive real number). The shortest side is one-fourth of the second shortest side, so we can write the following equation:
x = (1/4) * 4x
Now, let's calculate the area using the given information:
A = (1/2) * base * height
18 = (1/2) * x * 4x
18 = 2x^2
Dividing both sides by 2, we get:
9 = x^2
Taking the square root of both sides gives us:
x = 3
Now we can substitute the value of x back into our side length equations to find the lengths of all three sides:
Shortest side: x = 3
Second shortest side: 4x = 4 * 3 = 12
Longest side (hypotenuse): 5x = 5 * 3 = 15
Therefore, the lengths of all three sides of the right-angled triangle are 3, 12, and 15.