S= D divided by T
S= 360 divided by 16
S= 22.5
When lines cross each other in a triangle from a point to the mid point of the opposite side as shown, AV is 2 times as long as VF
To solve for X we would have AV = 2*VF
The equation becomes:
3x+6 = 2(x+6)
Now we solve for X
3x+6 = 2(x+6)
Distribute the 2 on the right side:
3x + 6 = 2x +12
Subtract 2x from each side:
X +6 = 12
Subtract 6 from each side:
x = 6
Now if you needed to solve the length of AV or VF, you replace x with 6 and solve.
If u solve using the step by step equation process u will get the answer
The equations to calculate the legs are 0.5(x)(x + 2) = 24, x^2 + 2x - 48 = 0 and x^2 + (x + 2)^2 = 100
<h3>How to determine the legs of the triangle?</h3>
The complete question is in the attached image
The given parameters are:
Area = 24
Legs = x and x + 2
The area of the triangle is calculated as:
Area = 0.5 * Base * Height
This gives
0.5 * x * (x + 2) = 24
So, we have:
0.5(x)(x + 2) = 24
Divide through by 0.5
(x)(x + 2) = 48
Expand
x^2 + 2x = 48
Subtract 48 from both side
x^2 + 2x - 48 = 0
Hence, the equations to calculate the legs are 0.5(x)(x + 2) = 24, x^2 + 2x - 48 = 0 and x^2 + (x + 2)^2 = 100
Read more about area at:
brainly.com/question/24487155
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