Triangle fgh is an isosceles right triangle with a hypotenuse that measures 16 units. an altitude, line segment g j, is drawn fr
2 answers:
The square of the altitude is equal to the product of the base of the triangles
<h3>Triangular altitude theorem</h3>The square of the altitude is equal to the product of the base of the triangles. The length of line segment GJ is 8units
According to the theorem;
GJ² = HJ*JF
Determine the value of x using the pythagorean theorem
According to the theorem;
GJ² = HJ*JF
HJ + JF = 16
Since HJ = JF, hence
HJ = JF = 8
Substitute
GJ² = HJ*JF
GJ² = 8 * 8
GJ² = 64
GJ = 8units
Hence the length of line segment GJ is 8units
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Y = 
x + 3
y = x - 4
Since both equations are equal to y, you can set the two values equal to each other and solve for x.
x + 3 = x - 4 Multiply both sides by 2
x + 6 = 2x - 8 Add x to both sides
6 = 3x - 8 Add 8 to both sides
14 = 3x DIvide both sides by 3
4
= x
Now, plug the x value into one of the original equations, I'll plug it into y = x - 4.
y = x - 4 Plug in the x value
y = 4 - 4 Subtract
y =
x = 4 and y =
y = x - 4
Since both equations are equal to y, you can set the two values equal to each other and solve for x.
x + 6 = 2x - 8 Add x to both sides
6 = 3x - 8 Add 8 to both sides
14 = 3x DIvide both sides by 3
4
Now, plug the x value into one of the original equations, I'll plug it into y = x - 4.
y = x - 4 Plug in the x value
y = 4
y =
x = 4