Answer:
We know that our triangle has one side along the line:
y = (1/4)*x
And other side along the line:
y = -(1/4)*x.
Now, we want to find the vertex.
And we know that the vertex is the point where the two sides conect, so the vertex must be a common point of both lines.
Then we have:
y = (1/4)*x = -(1/4)*x
x = -x
The only solution to that equation is x = 0.
now we evaluate our lines in x = 0 and get:
y = (1/4)*0 = 0
y = -(1/4)*0 = 0
Then the lines intersect in the point (0, 0)
Then the vertex must be in the point (0, 0)
<u>Answer:</u>
<h2>
ST = 44.54 ft</h2>
<u>Explanation:</u>
given:
∠T=90° , ∠R=39° and TR = 55 ft
ST = 55×tan(39)
ST = 55×0.80..
ST = 44.54 ft