Below is a diagram of a right triangle. The coordinates of the two vertices are shown.
Find the lengths of sides f and g. Write your answers in terms of the variables f and g.
f = √()
g = √()
looks like you're all set to use the distance formula. So plug in your numbers, as you have declined to share them with us.
17
To determine the lengths of sides f and g in the right triangle, we can use the distance formula or Pythagorean theorem.
The distance formula states that the distance between two points (x1, y1) and (x2, y2) is given by:
d = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, the two points given are the coordinates of the vertices of the triangle. Let's assign them as follows:
Vertex A: (0, 0)
Vertex B: (f, 0)
Vertex C: (0, g)
Using the distance formula, we can calculate the lengths of sides f and g.
For side f:
d = √((x2 - x1)^2 + (y2 - y1)^2)
= √((f - 0)^2 + (0 - 0)^2)
= √(f^2 + 0)
= √(f^2)
= f
Therefore, the length of side f is f.
For side g:
d = √((x2 - x1)^2 + (y2 - y1)^2)
= √((0 - 0)^2 + (g - 0)^2)
= √(0 + g^2)
= √(g^2)
= g
Therefore, the length of side g is g.
In summary:
f = f
g = g